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Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments

机译:七速三维矢量晶格Boltzmann方法包括对压力的各种近似和两参数化二阶边界处理

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In this paper we present a seven-velocity three-dimensional (D3N7) vectorial lattice Boltzmann method (LBM) including various types of approximations to the pressure and propose a family of two-parameterized second-order boundary schemes with accuracy independent of the boundary location. In order to show the numerical stability of the D3N7 model, we construct a symmetrizer to handle the nonlinear approximations to the pressure. In the meantime, we relate the stability based on the vectorial model to that based on the conventional scalar model through an orthogonal similarity transformation. Finally, two 3-D examples with straight and curved boundaries numerically validate the D3N7 model, including linear and nonlinear approximations to the pressure, together with the proposed boundary schemes. (C) 2020 Elsevier Ltd. All rights reserved.
机译:在本文中,我们呈现了一种七维三维(D3N7)矢量晶格Boltzmann方法(LBM),包括对压力的各种近似,并提出了一个两参数化二阶边界方案,精度独立于边界位置。为了显示D3N7模型的数值稳定性,我们构造了一个对称化器以处理压力的非线性近似。同时,通过正交相似性转换,我们基于传统标量模型基于矢量模型的稳定性。最后,具有直线和弯曲边界的两个三维示例在数字上验证D3N7模型,包括线性和非线性近似与压力,以及所提出的边界方案。 (c)2020 elestvier有限公司保留所有权利。

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