scholarly journals Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics

2016 ◽  
Vol 50 (6) ◽  
pp. 1887-1916 ◽  
Author(s):  
Nina Aguillon ◽  
Christophe Chalons
Keyword(s):  
Gas Dynamics ◽  
Riemann Solvers ◽  
Conservative Schemes ◽  
Approximate Riemann Solvers

Approximate Riemann solvers for the Godunov SPH (GSPH)

2014 ◽  
Vol 270 ◽  
pp. 432-458 ◽  
Author(s):  
Kunal Puri ◽  
Prabhu Ramachandran
Keyword(s):  
Riemann Solvers ◽  
Approximate Riemann Solvers

AUSM-Based High-Order Solution for Euler Equations

2012 ◽  
Vol 12 (4) ◽  
pp. 1096-1120 ◽  
Author(s):  
Angelo L. Scandaliato ◽  
Meng-Sing Liou
Keyword(s):  
Euler Equations ◽  
Splitting Method ◽  
High Order ◽  
Riemann Solvers ◽  
Carbuncle Phenomenon ◽  
Solution Accuracy ◽  
Matrix Vector ◽  
Approximate Riemann Solvers ◽  
Monotonicity Preserving ◽  
High Order Interpolation

AbstractIn this paper we demonstrate the accuracy and robustness of combining the advection upwind splitting method (AUSM), specifically AUSM+-UP, with high-order upwind-biased interpolation procedures, the weighted essentially non-oscillatory (WENO-JS) scheme and its variations, and the monotonicity preserving (MP) scheme, for solving the Euler equations. MP is found to be more effective than the three WENO variations studied. AUSM+-UP is also shown to be free of the so-called “carbuncle” phenomenon with the high-order interpolation. The characteristic variables are preferred for interpolation after comparing the results using primitive and conservative variables, even though they require additional matrix-vector operations. Results using the Roe flux with an entropy fix and the Lax-Friedrichs approximate Riemann solvers are also included for comparison. In addition, four reflective boundary condition implementations are compared for their effects on residual convergence and solution accuracy. Finally, a measure for quantifying the efficiency of obtaining high order solutions is proposed; the measure reveals that a maximum return is reached after which no improvement in accuracy is possible for a given grid size.

Exact and approximate Riemann solvers at phase boundaries

2013 ◽  
Vol 75 ◽  
pp. 112-126 ◽  
Author(s):  
S. Fechter ◽  
F. Jaegle ◽  
V. Schleper
Keyword(s):  
Phase Boundaries ◽  
Riemann Solvers ◽  
Approximate Riemann Solvers
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