| A FINITE ELEMENT SOLVER FOR NAVIER-STOKES EQUATIONS VIA VORTICITY AND VELOCITY |
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| 作者姓名： | Zhu Jiang Abimael F D Loula Laboratório Nacional de Computaco Científica MCT Av Getúlio Vargas Petrópolis RJ Brazil |
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| 作者单位： | Zhu Jiang Abimael F D Loula Laboratório Nacional de Computaco Científica，MCT，Av Getúlio Vargas 333，25651 070 Petrópolis，RJ，Brazil |
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| 摘 要： | INTRODUCTIONThe stationary incompressible Navier- Stokesequations in the primitive variables( velocity uand pressure p)- vΔu + u . u + p =f . u =0u =g inΩinΩonΓ( 1 )whereΩ is a set of R2 ,Γ its boundary,v thekinematic viscosity of the fluid,f a field of givenbody forces,and g a given field defined onΓ sa-tisfying the global conservation property∫Γg . n =0 ( 2 )n denotes the unit outer normal vector toΓ.The vorticity- velocity system of Eq.( 1 ) ,byintroducing the vorticityω…
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A FINITE ELEMENT SOLVER FOR NAVIER-STOKES EQUATIONS VIA VORTICITY AND VELOCITY |
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| Zhu Jiang,Abimael F D Loula.A FINITE ELEMENT SOLVER FOR NAVIER-STOKES EQUATIONS VIA VORTICITY AND VELOCITY[J].Transactions of Nanjing University of Aeronautics & Astronautics,2001,18(Z1). |
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| Authors: | Zhu Jiang Abimael F D Loula |
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| Abstract: | The incompressible Navier Stokes equations are solved via variables of vorticity and velocity. Firstly, a rigorous variational framework with the equivalence between the velocity pressure and the vorticity velocity formulations is presented in a Lipschitz domain. Next, a class of Galerkin finite element approximations of the corresponding variational form is introduced, and a convergence analysis is given for the Stokes problem. Finally, an iterative finite element solver for the Navier Stokes problem is proposed. |
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| Keywords: | incompressible Navier Stokes equations vorticity velocity formulation finite element approximations convergence analysis |
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