scholarly journals Implicit total variation diminishing (TVD) schemes for steady-state calculations

1983 ◽  
Author(s):  
H. YEE ◽  
R. WARMING ◽  
A. HARTEN
Keyword(s):  
Steady State ◽  
Total Variation ◽  
Tvd Schemes ◽  
Total Variation Diminishing ◽  
Variation Diminishing

A new total variation diminishing scheme for the calculation of one-dimensional flow in inlet and exhaust pipes of internal combustion engines

1998 ◽  
Vol 212 (5) ◽  
pp. 437-448 ◽  
Author(s):  
M Vandevoorde ◽  
J Vierendeels ◽  
E Dick ◽  
R Sierens
Keyword(s):  
Total Variation ◽  
Internal Combustion Engines ◽  
Internal Combustion ◽  
Tvd Scheme ◽  
Combustion Engines ◽  
Tvd Schemes ◽  
Total Variation Diminishing ◽  
One Dimensional ◽  
Splitting Technique ◽  
Variation Diminishing

Total variation diminishing (TVD) schemes have been recently introduced for the calculation of the one-dimensional unsteady flow in the inlet and outlet pipes of internal combustion engines. This paper describes the flux difference splitting technique (with first- or second-order upwind fluxes) for the classic TVD schemes. To avoid problems at nodes with a section change, a new TVD scheme is developed. This paper further describes a method to impose the boundary condition at the pipe end, independent of the numerical scheme used. This is shown for a reservoir inlet of the pipe and a subsonic outlet flow. For two test cases (the shock-tube and the tapered-pipe calculation), the new TVD algorithm is compared with the classic TVD schemes. The evaluation shows that the new cell—vertex TVD scheme with superbee limiter in two stage form combines a high accuracy with an exact representation of the mass flow in each of the nodes.

Application of a total variation diminishing scheme to electromagnetic hybrid particle-in-cell plasma simulation

2012 ◽  
Vol 183 (10) ◽  
pp. 2027-2034 ◽  
Author(s):  
Masaharu Matsumoto ◽  
Yoshihiro Kajimura ◽  
Hideyuki Usui ◽  
Ikkoh Funaki ◽  
Iku Shinohara
Keyword(s):  
Total Variation ◽  
Plasma Simulation ◽  
Total Variation Diminishing ◽  
Hybrid Particle ◽  
Particle In Cell ◽  
Variation Diminishing ◽  
Cell Plasma
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