Subgrid Resolution of Fluid Discontinuities, II
Abstract
In computation of discontinuities in solutions of hyperbolic equations, the random choice method gives a zero viscosity numerical solution with perfect resolution but firstorder position errors ∼±2.5Δ x. The LaxWendroff scheme gives very small firstorder position errors, but resolution errors ∼±2.5Δ x. We propose two very simple tracking methods in the context of the random choice method, which combine the best features of both methods: perfect resolution and good accuracy. We compare the above with tracking in the context of the LaxWendroff scheme. The latter method is morre complicated, but much more accurate than any of the other methods considered here.
 Publication:

Journal of Computational Physics
 Pub Date:
 October 1980
 DOI:
 10.1016/00219991(80)900418
 Bibcode:
 1980JCoPh..37..336G
 Keywords:

 Computational Fluid Dynamics;
 Flow Equations;
 Hyperbolic Differential Equations;
 Burger Equation;
 CauchyRiemann Equations;
 Finite Difference Theory;
 Gas Dynamics;
 Fluid Mechanics and Heat Transfer