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Titlebook: Computational Science – ICCS 2018; 18th International C Yong Shi,Haohuan Fu,Peter M. A. Sloot Conference proceedings 2018 Springer Internat

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J. R. Rajarajan,Panchakarla D. P. Bhushandel. This new solver combines the Bernardi-Raugel element for linear elasticity and a weak Galerkin element for Darcy flow through the implicit Euler temporal discretization. The solver does not use any penalty factor and has less degrees of freedom compared to other existing methods. The solver is
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Smart Innovation, Systems and Technologies this paper. Variable densities and viscosities are considered in the numerical scheme. By introducing an intermediate velocity in both Cahn-Hilliard equation and momentum equation, the scheme can keep discrete energy law. A decouple approach based on pressure stabilization is implemented to solve t
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Smart Innovation, Systems and Technologiesual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equ
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Sustainable Design and Manufacturing 2016 paper. Chapman-Enskog expansion, a procedure to prove the consistency of this mesoscopic method with macroscopic conservation laws, is also conducted for both lattice scheme of velocity and temperature, as well as a simple introduction on the common used DnQb model. An efficient coding manner for M
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