Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method |
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Authors: | Weidong Shao Jun Li |
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Affiliation: | 1. Institute of Turbomachinery, Xi’an Jiaotong University, Xi’an 710049, China;2. Collaborative Innovation Centre of Advanced Aero-Engine, Beijing 100191, China |
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Abstract: | This paper presents three time integration methods for incompressible flows with finite element method in solving the lattice-BGK Boltzmann equation. The space discretization is performed using nodal discontinuous Galerkin method, which employs unstructured meshes with triangular elements and high order approximation degrees. The time discretization is performed using three different kinds of time integration methods, namely, direct, decoupling and splitting. From the storage cost, temporal accuracy, numerical stability and time consumption, we systematically compare three time integration methods. Then benchmark fluid flow simulations are performed to highlight efficient time integration methods. Numerical results are in good agreement with others or exact solutions. |
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Keywords: | Time integration methods Nodal discontinuous Galerkin method Lattice-BGK Boltzmann equation Incompressible flows Stiff terms |
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