ISSN:
0271-2091
Keywords:
Stokes Problems
;
Pressure
;
Pressure Potential
;
Incompressible
;
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:
In general Stokes problems, no boundary conditions exist for the pressure. But pressure is an L2(Ω) function and can uniquely be represented as the divergence of a precisely defined vector field. In the 2-D case, this vector field can in turn be represented as the sum of a gradient (of a pressure-potential) and the curl of a second scalar potential. The latter potential is entirely determined by the first one. A variational equation is obtained for such pressure potential class, which exists and is uniquely characterized. This variational problem is well-posed. Finite element approximations can easily be realized and ensure high convergence rates for the L2(Ω) norm of the pressure.
Additional Material:
3 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650070106
