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  • 1
    Publication Date: 2015-09-15
    Description: The extent to which low-frequency (minor allele frequency (MAF) between 1-5%) and rare (MAF 〈/= 1%) variants contribute to complex traits and disease in the general population is mainly unknown. Bone mineral density (BMD) is highly heritable, a major predictor of osteoporotic fractures, and has been previously associated with common genetic variants, as well as rare, population-specific, coding variants. Here we identify novel non-coding genetic variants with large effects on BMD (ntotal = 53,236) and fracture (ntotal = 508,253) in individuals of European ancestry from the general population. Associations for BMD were derived from whole-genome sequencing (n = 2,882 from UK10K (ref. 10); a population-based genome sequencing consortium), whole-exome sequencing (n = 3,549), deep imputation of genotyped samples using a combined UK10K/1000 Genomes reference panel (n = 26,534), and de novo replication genotyping (n = 20,271). We identified a low-frequency non-coding variant near a novel locus, EN1, with an effect size fourfold larger than the mean of previously reported common variants for lumbar spine BMD (rs11692564(T), MAF = 1.6%, replication effect size = +0.20 s.d., Pmeta = 2 x 10(-14)), which was also associated with a decreased risk of fracture (odds ratio = 0.85; P = 2 x 10(-11); ncases = 98,742 and ncontrols = 409,511). Using an En1(cre/flox) mouse model, we observed that conditional loss of En1 results in low bone mass, probably as a consequence of high bone turnover. We also identified a novel low-frequency non-coding variant with large effects on BMD near WNT16 (rs148771817(T), MAF = 1.2%, replication effect size = +0.41 s.d., Pmeta = 1 x 10(-11)). In general, there was an excess of association signals arising from deleterious coding and conserved non-coding variants. These findings provide evidence that low-frequency non-coding variants have large effects on BMD and fracture, thereby providing rationale for whole-genome sequencing and improved imputation reference panels to study the genetic architecture of complex traits and disease in the general population.〈br /〉〈br /〉〈a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4755714/" target="_blank"〉〈img src="https://static.pubmed.gov/portal/portal3rc.fcgi/4089621/img/3977009" border="0"〉〈/a〉   〈a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4755714/" target="_blank"〉This paper as free author manuscript - peer-reviewed and accepted for publication〈/a〉〈br /〉〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Zheng, Hou-Feng -- Forgetta, Vincenzo -- Hsu, Yi-Hsiang -- Estrada, Karol -- Rosello-Diez, Alberto -- Leo, Paul J -- Dahia, Chitra L -- Park-Min, Kyung Hyun -- Tobias, Jonathan H -- Kooperberg, Charles -- Kleinman, Aaron -- Styrkarsdottir, Unnur -- Liu, Ching-Ti -- Uggla, Charlotta -- Evans, Daniel S -- Nielson, Carrie M -- Walter, Klaudia -- Pettersson-Kymmer, Ulrika -- McCarthy, Shane -- Eriksson, Joel -- Kwan, Tony -- Jhamai, Mila -- Trajanoska, Katerina -- Memari, Yasin -- Min, Josine -- Huang, Jie -- Danecek, Petr -- Wilmot, Beth -- Li, Rui -- Chou, Wen-Chi -- Mokry, Lauren E -- Moayyeri, Alireza -- Claussnitzer, Melina -- Cheng, Chia-Ho -- Cheung, Warren -- Medina-Gomez, Carolina -- Ge, Bing -- Chen, Shu-Huang -- Choi, Kwangbom -- Oei, Ling -- Fraser, James -- Kraaij, Robert -- Hibbs, Matthew A -- Gregson, Celia L -- Paquette, Denis -- Hofman, Albert -- Wibom, Carl -- Tranah, Gregory J -- Marshall, Mhairi -- Gardiner, Brooke B -- Cremin, Katie -- Auer, Paul -- Hsu, Li -- Ring, Sue -- Tung, Joyce Y -- Thorleifsson, Gudmar -- Enneman, Anke W -- van Schoor, Natasja M -- de Groot, Lisette C P G M -- van der Velde, Nathalie -- Melin, Beatrice -- Kemp, John P -- Christiansen, Claus -- Sayers, Adrian -- Zhou, Yanhua -- Calderari, Sophie -- van Rooij, Jeroen -- Carlson, Chris -- Peters, Ulrike -- Berlivet, Soizik -- Dostie, Josee -- Uitterlinden, Andre G -- Williams, Stephen R -- Farber, Charles -- Grinberg, Daniel -- LaCroix, Andrea Z -- Haessler, Jeff -- Chasman, Daniel I -- Giulianini, Franco -- Rose, Lynda M -- Ridker, Paul M -- Eisman, John A -- Nguyen, Tuan V -- Center, Jacqueline R -- Nogues, Xavier -- Garcia-Giralt, Natalia -- Launer, Lenore L -- Gudnason, Vilmunder -- Mellstrom, Dan -- Vandenput, Liesbeth -- Amin, Najaf -- van Duijn, Cornelia M -- Karlsson, Magnus K -- Ljunggren, Osten -- Svensson, Olle -- Hallmans, Goran -- Rousseau, Francois -- Giroux, Sylvie -- Bussiere, Johanne -- Arp, Pascal P -- Koromani, Fjorda -- Prince, Richard L -- Lewis, Joshua R -- Langdahl, Bente L -- Hermann, A Pernille -- Jensen, Jens-Erik B -- Kaptoge, Stephen -- Khaw, Kay-Tee -- Reeve, Jonathan -- Formosa, Melissa M -- Xuereb-Anastasi, Angela -- Akesson, Kristina -- McGuigan, Fiona E -- Garg, Gaurav -- Olmos, Jose M -- Zarrabeitia, Maria T -- Riancho, Jose A -- Ralston, Stuart H -- Alonso, Nerea -- Jiang, Xi -- Goltzman, David -- Pastinen, Tomi -- Grundberg, Elin -- Gauguier, Dominique -- Orwoll, Eric S -- Karasik, David -- Davey-Smith, George -- AOGC Consortium -- Smith, Albert V -- Siggeirsdottir, Kristin -- Harris, Tamara B -- Zillikens, M Carola -- van Meurs, Joyce B J -- Thorsteinsdottir, Unnur -- Maurano, Matthew T -- Timpson, Nicholas J -- Soranzo, Nicole -- Durbin, Richard -- Wilson, Scott G -- Ntzani, Evangelia E -- Brown, Matthew A -- Stefansson, Kari -- Hinds, David A -- Spector, Tim -- Cupples, L Adrienne -- Ohlsson, Claes -- Greenwood, Celia M T -- UK10K Consortium -- Jackson, Rebecca D -- Rowe, David W -- Loomis, Cynthia A -- Evans, David M -- Ackert-Bicknell, Cheryl L -- Joyner, Alexandra L -- Duncan, Emma L -- Kiel, Douglas P -- Rivadeneira, Fernando -- Richards, J Brent -- G1000143/Medical Research Council/United Kingdom -- K01 AR062655/AR/NIAMS NIH HHS/ -- MC_UU_12013/3/Medical Research Council/United Kingdom -- R01 AG005394/AG/NIA NIH HHS/ -- R01 AG005407/AG/NIA NIH HHS/ -- R01 AG027574/AG/NIA NIH HHS/ -- R01 AG027576/AG/NIA NIH HHS/ -- R01 AR035582/AR/NIAMS NIH HHS/ -- R01 AR035583/AR/NIAMS NIH HHS/ -- RC2 AR058973/AR/NIAMS NIH HHS/ -- U01 AG018197/AG/NIA NIH HHS/ -- U01 AG042140/AG/NIA NIH HHS/ -- U01 AG042143/AG/NIA NIH HHS/ -- U01 AR045580/AR/NIAMS NIH HHS/ -- U01 AR045583/AR/NIAMS NIH HHS/ -- U01 AR045614/AR/NIAMS NIH HHS/ -- U01 AR045632/AR/NIAMS NIH HHS/ -- U01 AR045647/AR/NIAMS NIH HHS/ -- U01 AR045654/AR/NIAMS NIH HHS/ -- U01 AR066160/AR/NIAMS NIH HHS/ -- England -- Nature. 2015 Oct 1;526(7571):112-7. doi: 10.1038/nature14878. Epub 2015 Sep 14.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Departments of Medicine, Human Genetics, Epidemiology and Biostatistics, McGill University, Montreal H3A 1A2, Canada. ; Department of Medicine, Lady Davis Institute for Medical Research, Jewish General Hospital, McGill University, Montreal H3T 1E2, Canada. ; Institute for Aging Research, Hebrew SeniorLife, Boston, Massachusetts 02131, USA. ; Department of Medicine, Harvard Medical School, Boston, Massachusetts 02115, USA. ; Broad Institute of MIT and Harvard, Boston, Massachusetts 02115, USA. ; Department of Internal Medicine, Erasmus Medical Center, Rotterdam 3015GE, The Netherlands. ; Analytic and Translational Genetics Unit, Massachusetts General Hospital, Boston, Massachusetts 02114, USA. ; Developmental Biology Program, Sloan Kettering Institute, New York, New York 10065, USA. ; The University of Queensland Diamantina Institute, Translational Research Institute, Princess Alexandra Hospital, Brisbane 4102, Australia. ; Department of Cell and Developmental Biology, Weill Cornell Medical College, New York, New York 10065, USA. ; Tissue Engineering, Regeneration and Repair Program, Hospital for Special Surgery, New York 10021, USA. ; Rheumatology Divison, Hospital for Special Surgery New York, New York 10021, USA. ; School of Clinical Science, University of Bristol, Bristol BS10 5NB, UK. ; MRC Integrative Epidemiology Unit, University of Bristol, Bristol BS8 2BN, UK. ; Fred Hutchinson Cancer Research Center, Seattle, Washington 98109, USA. ; Department of Research, 23andMe, Mountain View, California 94041, USA. ; Department of Population Genomics, deCODE Genetics, Reykjavik IS-101, Iceland. ; Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts 02118, USA. ; Centre for Bone and Arthritis Research, Department of Internal Medicine and Clinical Nutrition, Institute of Medicine, Sahlgrenska Academy, University of Gothenburg, Gothenburg S-413 45, Sweden. ; California Pacific Medical Center Research Institute, San Francisco, California 94158, USA. ; Department of Public Health and Preventive Medicine, Oregon Health &Science University, Portland, Oregon 97239, USA. ; Bone &Mineral Unit, Oregon Health &Science University, Portland, Oregon 97239, USA. ; Wellcome Trust Sanger Institute, Wellcome Trust Genome Campus, Cambridge CB10 1SA, UK. ; Departments of Pharmacology and Clinical Neurosciences, Umea University, Umea S-901 87, Sweden. ; Department of Public Health and Clinical Medicine, Umea University, Umea SE-901 87, Sweden. ; Centre for Bone and Arthritis Research, Institute of Medicine, Sahlgrenska Academy, University of Gothenburg, Gothenburg S-413 45, Sweden. ; McGill University and Genome Quebec Innovation Centre, Montreal H3A 0G1, Canada. ; Department of Epidemiology, Erasmus Medical Center, Rotterdam 3015GE, The Netherlands. ; Oregon Clinical and Translational Research Institute, Oregon Health &Science University, Portland, Oregon 97239, USA. ; Department of Medical and Clinical Informatics, Oregon Health &Science University, Portland, Oregon 97239, USA. ; Farr Institute of Health Informatics Research, University College London, London NW1 2DA, UK. ; Department of Twin Research and Genetic Epidemiology, King's College London, London SE1 7EH, UK. ; Department of Medicine, Beth Israel Deaconess Medical Center, Boston, Massachusetts 02115, USA. ; Department of Human Genetics, McGill University, Montreal H3A 1B1, Canada. ; Netherlands Genomics Initiative (NGI)-sponsored Netherlands Consortium for Healthy Aging (NCHA), Leiden 2300RC, The Netherlands. ; Center for Musculoskeletal Research, University of Rochester, Rochester, New York 14642, USA. ; Department of Biochemistry and Goodman Cancer Research Center, McGill University, Montreal H3G 1Y6, Canada. ; Department of Computer Science, Trinity University, San Antonio, Texas 78212, USA. ; Musculoskeletal Research Unit, University of Bristol, Bristol BS10 5NB, UK. ; Department of Radiation Sciences, Umea University, Umea S-901 87, Sweden. ; School of Public Health, University of Wisconsin, Milwaukee, Wisconsin 53726, USA. ; School of Social and Community Medicine, University of Bristol, Bristol BS8 2BN, UK. ; Department of Statistics, deCODE Genetics, Reykjavik IS-101, Iceland. ; Department of Epidemiology and Biostatistics and the EMGO Institute for Health and Care Research, VU University Medical Center, Amsterdam 1007 MB, The Netherlands. ; Department of Human Nutrition, Wageningen University, Wageningen 6700 EV, The Netherlands. ; Department of Internal Medicine, Section Geriatrics, Academic Medical Center, Amsterdam 1105, The Netherlands. ; Nordic Bioscience, Herlev 2730, Denmark. ; Cordeliers Research Centre, INSERM UMRS 1138, Paris 75006, France. ; Institute of Cardiometabolism and Nutrition, University Pierre &Marie Curie, Paris 75013, France. ; Departments of Medicine (Cardiovascular Medicine), Centre for Public Health Genomics, University of Virginia, Charlottesville, Virginia 22908, USA. ; Department of Genetics, University of Barcelona, Barcelona 08028, Spain. ; U-720, Centre for Biomedical Network Research on Rare Diseases (CIBERER), Barcelona 28029, Spain. ; Department of Human Molecular Genetics, The Institute of Biomedicine of the University of Barcelona (IBUB), Barcelona 08028, Spain. ; Women's Health Center of Excellence Family Medicine and Public Health, University of California - San Diego, San Diego, California 92093, USA. ; Division of Preventive Medicine, Brigham and Women's Hospital, Boston, Massachusetts 02215, USA. ; Osteoporosis &Bone Biology Program, Garvan Institute of Medical Research, Sydney 2010, Australia. ; School of Medicine Sydney, University of Notre Dame Australia, Sydney 6959, Australia. ; St. Vincent's Hospital &Clinical School, NSW University, Sydney 2010, Australia. ; Musculoskeletal Research Group, Institut Hospital del Mar d'Investigacions Mediques, Barcelona 08003, Spain. ; Cooperative Research Network on Aging and Fragility (RETICEF), Institute of Health Carlos III, 28029, Spain. ; Department of Internal Medicine, Hospital del Mar, Universitat Autonoma de Barcelona, Barcelona 08193, Spain. ; Neuroepidemiology Section, National Institute on Aging, National Institutes of Health, Bethesda, Maryland 20892, USA. ; Icelandic Heart Association, Kopavogur IS-201, Iceland. ; Faculty of Medicine, University of Iceland, Reykjavik IS-101, Iceland. ; Genetic epidemiology unit, Department of Epidemiology, Erasmus MC, Rotterdam 3000CA, The Netherlands. ; Department of Orthopaedics, Skane University Hospital Malmo 205 02, Sweden. ; Department of Medical Sciences, University of Uppsala, Uppsala 751 85, Sweden. ; Department of Surgical and Perioperative Sciences, Umea Unviersity, Umea 901 85, Sweden. ; Department of Molecular Biology, Medical Biochemistry and Pathology, Universite Laval, Quebec City G1V 0A6, Canada. ; Axe Sante des Populations et Pratiques Optimales en Sante, Centre de recherche du CHU de Quebec, Quebec City G1V 4G2, Canada. ; Department of Endocrinology and Diabetes, Sir Charles Gairdner Hospital, Nedlands 6009, Australia. ; Department of Medicine, University of Western Australia, Perth 6009, Australia. ; Department of Endocrinology and Internal Medicine, Aarhus University Hospital, Aarhus C 8000, Denmark. ; Department of Endocrinology, Odense University Hospital, Odense C 5000, Denmark. ; Department of Endocrinology, Hvidovre University Hospital, Hvidovre 2650, Denmark. ; Clinical Gerontology Unit, University of Cambridge, Cambridge CB2 2QQ, UK. ; Medicine and Public Health and Primary Care, University of Cambridge, Cambridge CB1 8RN, UK. ; Institute of Musculoskeletal Sciences, The Botnar Research Centre, University of Oxford, Oxford OX3 7LD, UK. ; Department of Applied Biomedical Science, Faculty of Health Sciences, University of Malta, Msida MSD 2080, Malta. ; Clinical and Molecular Osteoporosis Research Unit, Department of Clinical Sciences Malmo, Lund University, 205 02, Sweden. ; Department of Medicine and Psychiatry, University of Cantabria, Santander 39011, Spain. ; Department of Internal Medicine, Hospital U.M. Valdecilla- IDIVAL, Santander 39008, Spain. ; Department of Legal Medicine, University of Cantabria, Santander 39011, Spain. ; Centre for Genomic and Experimental Medicine, Institute of Genetics and Molecular Medicine, Western General Hospital, University of Edinburgh, Edinburgh EH4 2XU, UK. ; Department of Reconstructive Sciences, College of Dental Medicine, University of Connecticut Health Center, Farmington, Connecticut 06030, USA. ; Department of Medicine and Physiology, McGill University, Montreal H4A 3J1, Canada. ; Department of Medicine, Oregon Health &Science University, Portland, Oregon 97239, USA. ; Faculty of Medicine in the Galilee, Bar-Ilan University, Safed 13010, Israel. ; Laboratory of Epidemiology, National Institute on Aging, National Institutes of Health, Bethesda, Maryland 20892, USA. ; Department of Genome Sciences, University of Washington, Seattle, Washington 98195, USA. ; School of Medicine and Pharmacology, University of Western Australia, Crawley 6009, Australia. ; Department of Hygiene and Epidemiology, University of Ioannina School of Medicine, Ioannina 45110, Greece. ; Department of Health Services, Policy and Practice, Brown University School of Public Health, Providence, Rhode Island 02903, USA. ; deCODE Genetics, Reykjavik IS-101, Iceland. ; Framingham Heart Study, Framingham, Massachusetts 01702, USA. ; Department of Epidemiology, Biostatistics and Occupational Health, McGill University, Montreal H3A 1A2, Canada. ; Department of Oncology, Gerald Bronfman Centre, McGill University, Montreal H2W 1S6, Canada. ; Department of Medicine, Division of Endocrinology, Diabetes and Metabolism, The Ohio State University, Columbus, Ohio 43210, USA. ; The Ronald O. Perelman Department of Dermatology and Department of Cell Biology, New York University School of Medicine, New York, New York 10016, USA. ; Department of Diabetes and Endocrinology, Royal Brisbane and Women's Hospital, Brisbane 4029, Australia.〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/26367794" target="_blank"〉PubMed〈/a〉
    Keywords: Animals ; Bone Density/*genetics ; Bone and Bones/metabolism ; Disease Models, Animal ; Europe/ethnology ; European Continental Ancestry Group/genetics ; Exome/genetics ; Female ; Fractures, Bone/*genetics ; Gene Frequency/genetics ; Genetic Predisposition to Disease/genetics ; Genetic Variation/genetics ; Genome, Human/*genetics ; Genomics ; Genotype ; Homeodomain Proteins/*genetics ; Humans ; Mice ; Sequence Analysis, DNA ; Wnt Proteins/genetics
    Print ISSN: 0028-0836
    Electronic ISSN: 1476-4687
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 405-426 
    ISSN: 0271-2091
    Keywords: TVD ; TVB ; ENO ; Finite element ; Euler equations ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A class of shock-capturing Petrov-Galerkin finite element methods that use high-order non-oscillatory interpolations is presented for the one-dimensional compressible Euler equations. Modified eigenvalues which employ total variation diminishing (TVD), total variation bounded (TVB) and essentially non-oscillatory (ENO) mechanisms are introduced into the weighting functions. A one-pass Euler explicit transient algorithm with lumped mass matrix is used to integrate the equations. Numerical experiments with Burgers' equation, the Riemann problem and the two-blast-wave interaction problem are presented. Results indicate that accurate solutions in smooth regions and sharp and non-oscillatory solutions at discontinuities are obtainable even for strong shocks.
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  • 3
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    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 12 (1991), S. 225-235 
    ISSN: 0271-2091
    Keywords: Advection ; Diffusion ; Numerical simulation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The Holly-Preissmann two-point finite difference scheme (HP method) has been popularly used for solving the advection equation. The key idea of this scheme is to solve the dependent variable (i.e. the concentration for the pollutant transport problem) by the method of characteristics with the use of cubic interpolation on the spatial axis. The interpolating polynomials of higher order are constructed by use of the dependent variable and its derivatives at two adjacent grid points. In this paper a new interpolating technique is introduced for incorporation with the Holly-Preissmann two-point method. The new method is denoted herein as the Holly-Preissmann reach-back method (HPRB) and allows the characteristics to project back several time steps beyond the present time level. Through stability analyses it has been observed that the increase of the reach-back time step numbers for the characteristics indeed reduces the numerical damping and dispersive phenomena. A schematic model has been constructed to demonstrate the merits of this new technique for the calculation of the pure advection and dispersion equations. Numerical experiments and comparisons with analytical solutions which support and demonstrate this new technique are presented.
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 15 (1992), S. 1119-1141 
    ISSN: 0271-2091
    Keywords: Integral equation ; Overturning progressive waves ; Breaking standing waves ; Sloshing ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: On the basis of the integral equation approach, numerical algorithms for solving non-linear water wave problem are presented. The free surface flow is assumed to be irrotational. Two different Green functions are used in the integral equations. The non-linear free-surface boundary conditions are treated by a time-stepping Lagrangian technique. Several numerical examples are given, including permanent periodic waves, overturning progressive waves, breaking standing waves and sloshing problems.
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 229-245 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In this paper models are given for analysis and description of non-linear properties of joints, weak intercalations and interfaces in rock masses.Models for analysis consist of four parts, i.e. shear displacement model, normal deformation model, shear strength model and a relationship between unit shear stiffness and normal stress.The method of non-linear analysis given in this paper is based on an incremental procedure.The proposed method is available for different types of shear-displacement curves, and also adapted to the complicated process of loading-unloading-reloading.The results of computer simulation of an in-situ shear test obtained by this method gave a good fit to the measured data.The method of non-linear analysis of joint elements has been used in some practical rock engineering problems, and some interesting results and conclusions have been obtained.
    Additional Material: 21 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 17 (1993), S. 553-576 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Waves reflecting obliquely from structures establish short-crested waves which are conducive to scour of the bed adjacent to them. The pore pressures and effective stresses induced by this wave system are derived analytically for an unsaturated, anisotropic soil matrix of infinite depth in a three-dimensional domain. Verification is available by the solutions being readily reduced to the two-dimensional cases of the progressive and standing wave, for which some closed-form solutions are available. It is shown that wave obliquity is coupled with soil permeability. The effects of wave obliquity, relative water depth, soil stiffness and soil permeability on wave-induced pore pressure are discussed in detail.
    Additional Material: 11 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 7 (1987), S. 567-579 
    ISSN: 0271-2091
    Keywords: Adaptive Grid ; Variational Method ; Transonic Projectile Aerodynamics ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An adaptive grid generation technique based on modified variational principles coupled with an exponential clustering has been developed and tested successfully for the computation of steady inviscid transonic projectile aerodynamics. The isoperimetric problem for adaptive gridding is to extremize a grid smoothness functional subject to grid orthogonality and resolution functionals; however, the Lagrange multipliers have been assumed to be variables with zero variation and are properly chosen as functions of local grid size to enhance locally the grid resolution as well as to maintain the weight of three grid characteristics the same over the entire flow field. With computed pressure gradient as the control function for grid adaptation, the resulting Euler equations cannot provide sufficient grid resolution in the boundary layer region of the projectile geometry; hence, a clustering technique is needed to redistribute the points along the normal grid lines. A grid generation code has been developed and coupled to an axisymmetric thin-layer Navier-Stokes code for self-adaptive grid generation. For the three transonic flow cases considered, M∞ = 0.91, 0.96 and 1.10, the distribution of surface pressure calculated from the inviscid option of the Navier-Stokes code is indeed in excellent agreement with published measured data.
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  • 8
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 12 (1991), S. 161-177 
    ISSN: 0271-2091
    Keywords: Convection approximation ; Total variation diminishing schemes ; Shock ; Turbulent and inviscid flows ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A systematic study has been conducted to assess the performance of the TVD schemes for practical flow computation. The viewpoint adopted here is to treat the TVD schemes as a combination of the standard central difference scheme with numerical dissipation terms. The controlled amount of numerical dissipation modifies the computed fluxes to ensure that the solution is oscillation-free. Four variants of TVD schemes, two with upwind dissipation terms and two with symmetric dissipation terms, have been studied and compared with the conventional Beam-Warming scheme for inviscid and turbulent axisymmetric flow computations. The results obtained show that all four variants can accurately resolve the shock and flow profiles with fewer grid points than the Beam-Warming scheme. The convergence rates of the TVD schemes are also substantially superior to that of the Beam-Warming scheme. The combination of high accuracy, good robustness and improved computational efficiency offered by the TVD schemes makes them attractive for computing high-speed flow with shocks. In terms of the relative performances it is found that the symmetric schemes converge slightly faster but that the upwind schemes are less sensitive to the number of grid points being employed.
    Additional Material: 12 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 2865-2887 
    ISSN: 0029-5981
    Keywords: variable-order ; spectral element method ; localp-refinement ; incompressible viscous flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new variable-order spectral element scheme is proposed in this work for the numerical solution of the steady incompressible Navier-Stokes equations in primitive variables. The spectral orders of polynomial expansion in each spatial direction for each element are specified by the user in advance. Next, an interface-nodes-replacement procedure is initialized to recover the conformity of the mesh. The interpolation functions are modified to accommodate the new sets of nodes. The present formulation does not require any interface iteration scheme; in addition, any complicated data structure is also avoided. Implementation of this strategy toward the existing spectral element framework is direct and simple. Additionally, the performance of the method is examined by many numerical experiments. Improved flexibility and efficiency of the accurate spectral element method make it a highly promising candidate for solving practical fluid dynamics problems.
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  • 10
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 19 (1983), S. 185-215 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It is well known that one way to treat nonlinear periodic dynamical systems governed by ordinary differential equations is to find first the corresponding point mappings. This approach has many advantages but it has a main obstacle in that it is difficult to obtain the exact mapping except in very special cases. Presented in this paper is a procedure which allows us to determine the point mapping in a polynomial form up to any specific degree of accuracy. The procedure when applied to linear periodic systems reduces to the one proposed by Friedmann et al.22 After presenting the algorithm for finding the point mappings, the method is applied to several problems in order to study the dynamical properties of the systems and to demonstrate the usefulness of the method.
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