In this paper, we present a two-step, component-wise TVD scheme for nonlinear, hyperbolic conservation laws, which is obtained by combining the schemes of Mac Cormack and Warming-Beam. The scheme does not necessitate the characteristic decompositions of the usual TVD schemes. It employs component-wi
On a Second Order Residual Estimator for Numerical Schemes for Nonlinear Hyperbolic Conservation Laws
β Scribed by Ingo Thomas; Thomas Sonar
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 348 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
We suggest a new technique for the numerical computation of the local residual of nonlinear hyperbolic conservation laws. This techniques relies on a discrete regularization of the numerical data.
π SIMILAR VOLUMES
Many of the problems of approximating numerically solutions to nonhomogeneous hyperbolic conservation laws appear to arise from an inability to balance the source and flux terms at steady states. In this paper we present a technique based on the transformation of the nonhomogeneous problem to homoge
Communicated by H
A second-order-accurate finite difference discretization of the incompressible Navier-Stokes is presented that discretely conserves mass, momentum, and kinetic energy (in the inviscid limit) in space and time. The method is thus completely free of numerical dissipation and potentially well suited to