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The characteristic‐based split (CBS) meshfree method for free surface flow problems in ALE formulation
Author(s) -
Zhang Xiao Hua,
Ouyang Jie,
Zhang Lin
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2213
Subject(s) - free surface , mathematics , compressibility , meshfree methods , finite element method , flow (mathematics) , incompressible flow , surface (topology) , stability (learning theory) , function (biology) , eulerian path , node (physics) , mathematical optimization , lagrangian , geometry , computer science , mechanics , structural engineering , physics , engineering , machine learning , biology , evolutionary biology
A semi‐implicit characteristic‐based split (CBS) meshfree algorithm in the arbitrary Lagrangian Eulerian (ALE) framework is proposed for the numerical solution of incompressible free surface flow problem in the paper. The algorithm is the extension of general CBS method which was initially introduced in finite element framework, this is due to the fact that CBS method not only can enhance the stability, but also avoid LBB condition when equal order basis function is used to approximate velocity and pressure variables. Meanwhile, a simple way for node update and node speed calculation is developed which is used to capture the free surface exactly. The numerical solutions are compared with available analytical and numerical solutions, which shows that the proposed method has better ability to simulate the free surface incompressible flow problem. Copyright © 2009 John Wiley & Sons, Ltd.