Numerical solution to the shallow water equations using explicit and implicit schemes

2016 ◽  
Author(s):  
Sudi Mungkasi ◽  
Ilga Purnama Sari
Keyword(s):  
Numerical Solution ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Implicit Schemes ◽  
Explicit And Implicit Schemes

scholarly journals NUMERICAL SOLUTION OF 1D AND 2D THERMOELASTIC COUPLED PROBLEMS

2012 ◽  
Vol 09 ◽  
pp. 503-510
Author(s):  
ABDUVALI KHALDJIGITOV ◽  
AZIZ QALANDAROV ◽  
NIK MOHD ASRI NIK LONG ◽  
ZAINIDIN ESHQUVATOV
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Coupled Problems ◽  
Implicit Schemes ◽  
Elasticity Problems ◽  
Explicit And Implicit Schemes ◽  
Solid Liquid ◽  
Good Coincidence

Study the heats propagation in a solid, liquid continuums is an actual problems. The liquid continuum may be considered as a biomaterial. The present investigation is devoted to the study of 1D and 2D dynamic coupled thermo elasticity problems. In case of coupled problems the motion and heat conduction equations are considered together. For numerical solution of thermo elasticity problems an explicit and implicit schemes are constructed. The explicit and implicit schemes by using recurrent formulas and the "consecutive" methods are solved. Comparison of two results shows a good coincidence.

scholarly journals Implicit and time reversible CABARET schemes for quasilinear shallow water equations

2016 ◽  
pp. 402-414
Author(s):  
В.М. Головизнин ◽  
Д.Ю. Горбачев ◽  
А.М. Колокольников ◽  
П.А. Майоров ◽  
П.А. Майоров ◽  
...  
Keyword(s):  
Difference Scheme ◽  
Numerical Solution ◽  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equations ◽  
Unconditionally Stable ◽  
One Dimensional ◽  
Dispersion Properties ◽  
The One ◽  
Stable Scheme

Предложена новая неявная безусловно устойчивая схема для одномерных уравнений мелкой воды, сохраняющая все особенности явной схемы Кабаре. Проведен анализ диссипативных и дисперсионных свойств новой схемы и предложен алгоритм ее численного решения. Приведены примеры решения задачи о распаде разрыва. A new implicit unconditionally stable scheme for the one-dimensional shallow water equations is proposed. This implicit scheme retains all the features of the explicit CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) difference scheme. Dissipative and dispersion properties of this new scheme are analyzed; an algorithm of its numerical solution is discussed. Some examples of solving the Riemann problem are considered.

scholarly journals Numerical Solution of the Shallow-Water Equations.

1990 ◽  
Vol 55 (191) ◽  
pp. 392
Author(s):  
Eli Turkel ◽  
F. W. Wubs
Keyword(s):  
Numerical Solution ◽  
Shallow Water ◽  
Shallow Water Equations
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