A New Time-space Accurate Scheme for Hyperbolic Problems I: Quasi-explicit Case

Authors:
David Sidilkover
Affiliations:
-
Venue:
A New Time-space Accurate Scheme for Hyperbolic Problems I: Quasi-explicit Case
Year:
1998

Citing 0
Cited 1

High-order monotonicity-preserving compact schemes for linear scalar advection on 2-D irregular meshes

Journal of Computational Physics

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Abstract

This paper presents a new discretization scheme for hyperbolic systems of conservations laws. It satisfies the TVD property and relies on the new high-resolution mechanism which is compatible with the genuinely multidimensional approach proposed recently. This work can be regarded as a first step towards extending the genuinely multidimensional approach to unsteady problems. Discontinuity capturing capabilities and accuracy of the scheme are verified by a set of numerical tests.