A Well-balanced and Positivity-preserving Godunov-type Numerical Scheme for a Spray Model
Author:
Affiliation:
1. Department of Mathematics and Computer Science, Ho Chi Minh City University of Education, Vietnam
2. Department of Mathematics, International University, Vietnam, and Vietnam National University, Vietnam
Publisher
The Mathematical Society of the Republic of China
Reference38 articles.
1. D. H. Cuong and M. D. Thanh, A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section, Appl. Math. Comput. 256 (2015), 602–629.
2. ____, Building a Godunov-type numerical scheme for a model of two-phase flows, Comput. & Fluids 148 (2017), 69–81.
3. P. Goatin and P. G. LeFloch, The Riemann problem for a class of resonant hyperbolic systems of balance laws, Ann. Inst. H. Poincaré C Anal. Non Linéaire 21 (2004), no. 6, 881–902.
4. P. G. Lefloch and M. D. Thanh, The Riemann problem for fluid flows in a nozzle with discontinuous cross-section, Commun. Math. Sci. 1 (2003), no. 4, 763–797.
5. ____, A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime, J. Comput. Phys. 230 (2011), no. 20, 7631–7660.
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