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High Order Centered Difference Methods With Sharp Shock Resolution by Gustafsson%2c Bertil
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1NASA Technical Reports Server (NTRS) 19940033145: High-order Centered Difference Methods With Sharp Shock Resolution
By NASA Technical Reports Server (NTRS)
In this paper we consider high-order centered finite difference approximations of hyperbolic conservation laws. We propose different ways of adding artificial viscosity to obtain sharp shock resolution. For the Riemann problem we give simple explicit formulas for obtaining stationary one and two-point shocks. This can be done for any order of accuracy. It is shown that the addition of artificial viscosity is equivalent to ensuring the Lax k-shock condition. We also show numerical experiments that verify the theoretical results.
“NASA Technical Reports Server (NTRS) 19940033145: High-order Centered Difference Methods With Sharp Shock Resolution” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19940033145: High-order Centered Difference Methods With Sharp Shock Resolution
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
“NASA Technical Reports Server (NTRS) 19940033145: High-order Centered Difference Methods With Sharp Shock Resolution” Subjects and Themes:
- Subjects: ➤ NASA Technical Reports Server (NTRS) - CAUCHY PROBLEM - CONSERVATION LAWS - FINITE DIFFERENCE THEORY - HYPERBOLIC DIFFERENTIAL EQUATIONS - SHOCK WAVES - BURGER EQUATION - COORDINATE TRANSFORMATIONS - PERTURBATION THEORY - VISCOSITY - Gustafsson, Bertil - Olsson, Pelle
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19940033145
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