Numerical solutions of Euler equations using simplified flux vector splitting

AIAA Journal ◽  
1987 ◽  
Vol 25 (8) ◽  
pp. 1050-1051 ◽  
Author(s):  
E. von Lavante ◽  
A. Haertl ◽  
D. Claes
Keyword(s):  
Euler Equations ◽  
Numerical Solutions ◽  
Flux Vector ◽  
Flux Vector Splitting

scholarly journals Comparative study of numerical schemes for strong shock simulation using the Euler equations

2015 ◽  
Vol 18 (1) ◽  
pp. 73-88
Author(s):  
Binh Huy Nguyen ◽  
Giang Song Le
Keyword(s):  
Euler Equations ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Strong Shock ◽  
Strong Discontinuity ◽  
Numerical Schemes ◽  
First Order ◽  
Flux Vector Splitting ◽  
Explicit Finite Difference ◽  
Eno Scheme

A numerical study of extremely strong shocks was presented. Various types of numerical schemes with first-order accuracy and higherorder accuracy with adaptive stencils were implemented to solve the one and twodimensional Euler equations based on the explicit finite difference method, including Roe’s first-order upwind, Steger-Warming Flux Vector splitting (FVS), Sweby’s flux-limited and Essentially Non-oscillatory (ENO) scheme. The result comparisons were carried out to discuss which scheme is the most suitable for strong shock problem. The dissipative nature of the firstorder scheme can be easily seen from the numerical solutions. High order ENO scheme had the best resolution for the case having weak discontinuity, but it over- predicted the shock wave location for the case of strong discontinuity.

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