Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part II: Multi-dimensional limiting process

By Kyu Hong Kim, Chongam Kim. 2005

306 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/de33df7bcd8c46f40fc49d6e3a17e526bddc0c04

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Ben Thornber
2. David Youngs
3. R. Williams
4. Ryan W. Houim
5. E. Oran
6. Dimitris Drikakis

In Computational Mechanics

1. Ryan W. Houim
2. E. Oran
3. Ben Thornber
4. David Youngs
5. R. Williams
6. Dimitris Drikakis

Citations in the corpus

• A multiphase model for compressible granular–gaseous flows: formulation and initial tests (2016, methodology): “The TVD slope limiter used in this work is from Houim & Kuo (2011) and Kim & Kim (2005), φTVD =max [ 0,min ( G , G Qi+1 −Qi Qi −Qi−1 , 2 Q̂Li+1/2 −Qi Qi −Qi−1 )] , (B 24) where Q̂Li+1/2 is the original left-biased interpolated variable using WENO and G =max[2(1−Dζ 2), 0].”
• The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability† (2010, methodology): “Higher-order accuracy is achieved using monotonic upwind scheme for conservation laws (MUSCL) extrapolation (van Leer 1977), with the fifth-order limiter proposed by Kim & Kim (2005) implemented in a one-dimensional form for a fast computational time.”