A Simple Parallel Solution Method for the Navier-Stokes Cahn-Hilliard Equations

被引:8
作者
Adam, Nadja [1 ]
Franke, Florian [1 ]
Aland, Sebastian [1 ]
机构
[1] HTW Dresden, Fac Informat Math, Friedrich List Pl 1, D-01069 Dresden, Germany
关键词
two-phase flow; diffuse interface; phase field; Navier-Stokes; Cahn-Hilliard; PHASE-FIELD MODELS; DIFFUSE INTERFACE MODELS; BENCHMARK COMPUTATIONS; NUMERICAL-SOLUTION; 2-PHASE FLOW; FLUID; EFFICIENT; TIME; SCHEME;
D O I
10.3390/math8081224
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a discretization method of the Navier-Stokes Cahn-Hilliard equations which offers an impressing simplicity, making it easy to implement a scalable parallel code from scratch. The method is based on a special pressure projection scheme with incomplete pressure iterations. The resulting scheme admits solution by an explicit Euler method. Hence, all unknowns decouple, which enables a very simple implementation. This goes along with the opportunity of a straightforward parallelization, for example, by few lines of Open Multi-Processing (OpenMP) or Message Passing Interface (MPI) routines. Using a standard benchmark case of a rising bubble, we show that the method provides accurate results and good parallel scalability.
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页数:14
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