A finite element method for diffusion dominated unsteady viscous flows
Abstract
A general conforming finite element scheme for computing viscous flows is presented which is of secondorder accuracy in space and time. Viscous terms are treated implicitly and advection terms are treated explicitly in the time marching segment of the algorithm. A method for solving the algebraic equations at each time step is given. The method is demonstrated on two test problems, one of them being a plane vortex flow for which asymptotic methods are used to obtain suitable numerical boundary conditions at each time step.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 July 1983
 DOI:
 10.1016/00457825(83)900737
 Bibcode:
 1983CMAME..39...55G
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 NavierStokes Equation;
 Unsteady Flow;
 Viscous Flow;
 Asymptotic Methods;
 Convergence;
 RootMeanSquare Errors;
 Time Marching;
 Turbulent Diffusion;
 Fluid Mechanics and Heat Transfer