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  • 1
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    Unstructured finite element mesh generation and adaptive procedures for CFD (1990)
    In:  CASI
    Details
    Publication Date: 2011-10-14
    Description: A method is described for generating unstructured meshes of triangles or tetrahedra for computational domains of complex geometrical shape. To illustrate the power of the approach, it is applied to the solution of flows past several complete aircraft configurations. The advocated approach allows for the natural incorporation of mesh adaptivity and this is demonstrated for both inviscid and viscous computations in two and three dimensions.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AGARD, Applications of Mesh Generation to Complex 3-D Configurations; 12 p
    Format: text
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  • 2
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    Unstructured grid methods for compressible flows (1992)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: The implementation of the finite element method on unstructured triangular grids is described and the development of centered finite element schemes for the solution of the compressible Euler equation on general triangular and tetrahedral grids is discussed. Explicit and implicit Lax-Wendroff type methods and a method based upon the use of explicit multistep timestepping are considered. In the latter case, the convergence behavior of the method is accelerated by the incorporation of a fully unstructured multigrid procedure. The advancing front method for generating unstructured grids of triangles and tetrahedra is described and the application of adaptive mesh techniques to both steady and transient flow analysis is illustrated.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AGARD, Special Course on Unstructured Grid Methods for Advection Dominated Flows; 39 p
    Format: text
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  • 3
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    Finite element solution of the Euler equations in two and three dimensions (1988)
    In:  Other Sources
    Details
    Publication Date: 2019-07-27
    Description: The paper presents a finite element procedure for solving the equations of compressible flow over bodies of arbitrary geometry. The numerical solution algorithm employed is an explicit two-step version of a second order Taylor-Galerkin scheme. The discretization of the computational domain into unstructured meshes of triangles in two dimensions and tetrahedra in three dimensions is performed by an automatic mesh generator. In the approach, the mesh generator is coupled to the finite element solver to produce an adaptive remeshing procedure.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: GAMM-Conference on Numerical Methods in Fluid Mechanics; Sept. 9-11, 1987; Louvain-la-Neuve; Belgium
    Format: text
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  • 4
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    Unstructured mesh methods for CFD (1990)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Mesh generation methods for Computational Fluid Dynamics (CFD) are outlined. Geometric modeling is discussed. An advancing front method is described. Flow past a two engine Falcon aeroplane is studied. An algorithm and associated data structure called the alternating digital tree, which efficiently solves the geometric searching problem is described. The computation of an initial approximation to the steady state solution of a given poblem is described. Mesh generation for transient flows is described.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: VKI, Numerical Grid Generation; 121 p
    Format: application/pdf
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  • 5
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    Unstructured grid methods for the simulation of 3D transient flows (1994)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: A description of the research work undertaken under NASA Research Grant NAGW-2962 has been given. Basic algorithmic development work, undertaken for the simulation of steady three dimensional inviscid flow, has been used as the basis for the construction of a procedure for the simulation of truly transient flows in three dimensions. To produce a viable procedure for implementation on the current generation of computers, moving boundary components are simulated by fixed boundaries plus a suitably modified boundary condition. Computational efficiency is increased by the use of an implicit time stepping scheme in which the equation system is solved by explicit multistage time stepping with multigrid acceleration. The viability of the proposed approach has been demonstrated by considering the application of the procedure to simulation of a transonic flow over an oscillating ONERA M6 wing.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-196139 , NAS 1.26:196139
    Format: application/pdf
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  • 6
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    A 3D finite element multigrid solver for the Euler equations (1992)
    In:  Other Sources
    Details
    Publication Date: 2019-08-28
    Description: A low storage, computationally efficient algorithm for the solution of the compressible Euler equations on unstructured tetrahedral meshes is developed. The algorithm takes the form of a centered scheme with the explicit addition of a high accuracy artificial viscosity and the solution is advanced to steady state by means of a multistage timestepping method. The side-based data structure which is employed enables a clear connection to be established between the proposed algorithm and upwind cell vertex schemes for unstructured meshes. The computational efficiency of the procedure is improved by incorporating an unstructured multigrid acceleration procedure. A number of flows of practical interest are analyzed to demonstrate the numerical performance of the proposed approach.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AIAA PAPER 92-0449
    Format: text
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