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This study utilizes the moving mesh algorithm where a redefined computational mesh is applied in the convective phase.
In the simulation a new moving mesh algorithm is designed to deal with the difficulty caused by the delta function in the traveling heat source.
A moving mesh algorithm, integrated into a general finite element method, has been developed with regard to the contact between moving loads and cable structures.
A novel implementation of advancing front moving mesh algorithm was made possible with the introduction of a flexible and efficient quad-edge data structure.
In a recent work (2001, J. Comput. Phys.170, 562 588), we extended Dvinsky's method to provide an efficient moving mesh algorithm which compared favorably with the previously proposed schemes in terms of simplicity and reliability.
An unstructured adaptive mesh flow solver, a finite element structure solver and a moving mesh algorithm were implemented in the numerical simulation of the interaction between a shock wave and a structure.
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These studies demonstrate that the proposed diffuse interface immersed boundary method, which could be related to a class of penalisation approaches, is a robust and promising alternative to computationally expensive conformal moving mesh algorithms as well as the class of sharp interface immersed boundary methods for multibody problems in multi-phase flows.
A strategy of the mesh movement is based on the work by Li et al. [R.Li, T.Tang, P.W. Zhang, A moving mesh finite element algorithm for singular problems in two and three space dimensions, Journal of Computational Physics, 177 (2002) 365 393].
In this work, we will develop a local time stepping algorithm for the moving mesh methods.
Here we are concerned with algorithms based on moving mesh methods proposed by W. Huang and R. D. Russell [SIAM J. Sci. Comput.20, 998 (1999)].
In this work, we will propose a moving mesh method which also contains two parts, a solution algorithm and a mesh-redistribution algorithm.
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