Moving mesh methods with locally varying time steps

摘要: The time steps associated with moving mesh methods are proportional to the smallest size in space and as a result they very small at each level. For some practical problems, physical phenomena develop dynamically singular or nearly solutions fairly localized regions, therefore step level occurs only these regions. In this work, we will local stepping algorithm for methods. principal idea be demonstrated by investigating nonlinear hyperbolic conservation laws. Numerical experiments carried out demonstrate efficiency robustness of proposed