Affiliation:
1. 1Fachbereich Mathematik TU Darmstadt, 64289 Darmstadt, Germany.
Abstract
AbstractA new second-order accurate scheme for the computation of unsteady
viscous incompressible flows is proposed. The scheme is based on the vorticity-stream
function formulation along the characteristics and consists of combining the modified
method of characteristics with an explicit scheme with an extended real stability interval.
A comparison of the new method with the semi-Lagrangian Cranck-Nicolson
and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results
are carried out on Navier-Stokes equations and this efficient second-order scheme has
also made it possible to compute the driven cavity ow at a high Reynolds number on
a refined grid at a reasonable cost. The procedure can be generalized to more than two
dimensions.
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Cited by
36 articles.
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