scholarly journals Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

2008 ◽  
Vol 47 (3) ◽  
pp. 1460-1498 ◽  
Author(s):  
Jean-Michel Coron ◽  
Georges Bastin ◽  
Brigitte d'Andréa-Novel
Keyword(s):  
Boundary Conditions ◽  
Hyperbolic Systems ◽  
One Dimensional ◽  
Dissipative Boundary ◽  
Nonlinear Hyperbolic Systems

scholarly journals Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations

2019 ◽  
pp. 45-53
Author(s):  
А.В. Соловьев ◽  
А.В. Данилин
Keyword(s):  
Difference Scheme ◽  
Hyperbolic Systems ◽  
Higher Order ◽  
Test Problems ◽  
Systems Of Equations ◽  
Order Accuracy ◽  
One Dimensional ◽  
Hyperbolic Systems Of Equations ◽  
Sharp Difference ◽  
Nonlinear Hyperbolic Systems

Разностная схема Диез повышенного порядка точности, ранее разработанная для решения скалярного одномерного уравнения переноса, с помощью балансно-характеристического подхода распространена на нелинейные системы уравнений мелкой воды и уравнений Эйлера. Для обеих систем уравнений решены тестовые задачи, иллюстрирующие особенности решений, полученных с помощью описываемой разностной схемы. The Sharp difference scheme of higher-order accuracy developed previously for solving the scalar one-dimensional transport equation is extended to the shallow water nonlinear systems and to the systems of Euler equations using the balance-characteristic approach. For these systems, a number of test problems are solved to illustrate the features of the solutions obtained by the described difference scheme.

Sign in / Sign up

Export Citation Format

Share Document