scholarly journals Total variation diminishing Runge-Kutta schemes

1998 ◽  
Vol 67 (221) ◽  
pp. 73-85 ◽  
Author(s):  
Sigal Gottlieb ◽  
Chi-Wang Shu
Keyword(s):  
Total Variation ◽  
Total Variation Diminishing ◽  
Variation Diminishing ◽  
Runge Kutta

Application of Total Variation Diminishing for 1D Nozzle Problem

2013 ◽  
Vol 393 ◽  
pp. 872-877
Author(s):  
Fatimah Yusop ◽  
Bambang Basuno ◽  
Zamri Omar
Keyword(s):  
Differential Equation ◽  
Fluid Dynamics ◽  
Partial Differential Equation ◽  
Total Variation ◽  
Tvd Scheme ◽  
Total Variation Diminishing ◽  
Variation Diminishing ◽  
Computational Fluid Dynamics Cfd ◽  
Runge Kutta ◽  
Central Scheme

Computational fluid dynamics (CFD) is very widespread use every day as a tool in fluid flow analyses. In order to solve the Partial Differential Equation (PDE), there are few approach been introduced. The total variation diminishing (TVD) is a most popular scheme which is usually used in combination with other scheme. Therefore, this study develops CFD code by using Runge-Kutta which based on combination of central scheme and TVD scheme. Comparison was done through purely Runge-Kutta and after implemented TVD. The result shows that combination of Runge-Kutta and TVD approach are more stable as compared to purely Runge-Kutta approach.

Total Variation Diminishing Implicit Runge-Kutta Methods for Dissipative Advection-Diffusion Problems in Astrophysics

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 777-778 ◽  
Author(s):  
Natalie Happenhofer ◽  
Othmar Koch ◽  
Friedrich Kupka ◽  
Florian Zaussinger
Keyword(s):  
Total Variation ◽  
Total Variation Diminishing ◽  
Advection Diffusion ◽  
Variation Diminishing ◽  
Runge Kutta ◽  
Diffusion Problems

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
Sign in / Sign up

Export Citation Format

Share Document