scholarly journals An adaptive central‐upwind scheme on quadtree grids for variable density shallow water equations

2022 ◽  
Author(s):  
Mohammad A. Ghazizadeh ◽  
Abdolmajid Mohammadian
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Variable Density ◽  
Upwind Scheme

Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

2014 ◽  
Vol 16 (5) ◽  
pp. 1323-1354 ◽  
Author(s):  
Manuel Jesús Castro Diaz ◽  
Yuanzhen Cheng ◽  
Alina Chertock ◽  
Alexander Kurganov
Keyword(s):  
Shallow Water ◽  
Numerical Method ◽  
Shallow Water Equations ◽  
Numerical Experiments ◽  
Operator Splitting ◽  
Finite Volume Methods ◽  
Splitting Methods ◽  
Upwind Scheme ◽  
Operator Splitting Methods ◽  
Numerical Approaches

AbstractIn this paper, we develop and study numerical methods for the two-mode shallow water equations recently proposed in [S. STECHMANN, A. MAJDA, and B. KHOUIDER, Theor. Comput. Fluid Dynamics, 22 (2008), pp. 407-432]. Designing a reliable numerical method for this system is a challenging task due to its conditional hyperbolicity and the presence of nonconservative terms. We present several numerical approaches—two operator splitting methods (based on either Roe-type upwind or central-upwind scheme), a central-upwind scheme and a path-conservative central-upwind scheme—and test their performance in a number of numerical experiments. The obtained results demonstrate that a careful numerical treatment of nonconservative terms is crucial for designing a robust and highly accurate numerical method.

scholarly journals A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids

2016 ◽  
Vol 126 ◽  
pp. 25-40 ◽  
Author(s):  
Hamidreza Shirkhani ◽  
Abdolmajid Mohammadian ◽  
Ousmane Seidou ◽  
Alexander Kurganov
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Upwind Scheme ◽  
Positivity Preserving

scholarly journals Central-Upwind Scheme on Triangular Grids for the Saint-Venant System of Shallow Water Equations

2011 ◽  
Author(s):  
Steve Bryson ◽  
Yekaterina Epshteyn ◽  
Alexander Kurganov ◽  
Guergana Petrova ◽  
Theodore E. Simos ◽  
...  
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Upwind Scheme ◽  
Triangular Grids

scholarly journals Well-Balanced Variable Density Shallow Water Equations for Outfall Discharge Problems

2016 ◽  
Author(s):  
Sepideh Khorshi ◽  
◽  
ABDOLMAJID MOHAMMADIAN ◽  
Ioan Nistor
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Variable Density
Sign in / Sign up

Export Citation Format

Share Document