A vertex centred Finite Volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics
A vertex centred Finite Volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics
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DOI：
10.1016/j.jcp.2013.12.012
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发表时间：
2014-02-15
影响因子：
4.1
通讯作者：
Carreno, Aurelio Arranz
中科院分区：
文献类型：
--
作者：
Aguirre, Miquel;Gil, Antonio J.;Carreno, Aurelio Arranz
提出了一种以顶点为中心的有限体积算法，用于大变形快速瞬态动力学问题的数值模拟。基于使用线性动量，变形梯度张量和总能量作为守恒变量的混合公式分别在二维和三维计算中使用线性三角形和四面体在空间中离散。该方案结合Jameson-Schmidt-Turkel UST)人工耗散项，利用中心差值来评估界面通量。采用全变分递减（TVD）两级龙格-库塔时间积分器进行时间离散化。为了保证线性动量和角动量的保持，采用了JST算法。该框架产生了一个低阶计算效率的固体动力学求解器，在几乎不可压缩的场景和弯曲主导的应用中非常有竞争力。(C) 2013爱思唯尔公司版权所有。
A vertex centred Finite Volume algorithm is presented for the numerical simulation of fast transient dynamics problems involving large deformations. A mixed formulation based upon the use of the linear momentum, the deformation gradient tensor and the total energy as conservation variables is discretised in space using linear triangles and tetrahedra in two-dimensional and three-dimensional computations, respectively. The scheme is implemented using central differences for the evaluation of the interface fluxes in conjunction with the Jameson-Schmidt-Turkel UST) artificial dissipation term. The discretisation in time is performed by using a Total Variational Diminishing (TVD) two-stage Runge-Kutta time integrator. The JST algorithm is adapted in order to ensure the preservation of linear and angular momenta. The framework results in a low order computationally efficient solver for solid dynamics, which proves to be very competitive in nearly incompressible scenarios and bending dominated applications. (C) 2013 Elsevier Inc. All rights reserved.