Effective floating volume: a highly parallelizable mesh-free approach for solving transient multiphysics problems in multi-scale geometries with non-linear material properties
Effective floating volume: a highly parallelizable mesh-free approach for solving transient multiphysics problems in multi-scale geometries with non-linear material properties
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DOI：
10.1007/s00466-019-01797-x
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发表时间：
2019-11
影响因子：
4.1
通讯作者：
R. Bahadori;Hector Gutierrez
中科院分区：
文献类型：
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作者：
R. Bahadori;Hector Gutierrez
提出了一种新的数值方法，用于求解包含热传导、电流分配和焦耳热的瞬态多物理场问题。该创新包括一个无网格蒙特卡罗方法，消除或大大减少了传统的蒙特-卡罗方法的典型粒子散射的要求。该算法封装了一个体积周围的每个点，影响在域中的一个给定的点的解决方案，该体积包括其他点，代表小扰动沿着路径的能量传递。该方法是高度并行化的，适合于GPU计算，其计算性能大大提高，通过消除分散的插值。所提出的方法的精度和模拟时间进行比较，对有限元解决方案，也对现有文献的实验结果。所提出的方法提供的精度相媲美的有限元方法，实现了一个数量级的减少模拟时间。
A novel numerical method is proposed for the solution of transient multi-physics problems involving heat conduction, electrical current sharing and Joule heating. The innovation consists of a mesh-free Monte Carlo approach that eliminates or drastically reduces the particle scattering requirements typical of conventional Monte-Carlo methods. The proposed algorithm encapsulates a volume around each point that affects the solution at a given point in the domain; the volume includes other points that represent small perturbations along the path of energy transfer. The proposed method is highly parallelizable and amenable for GPU computing, and its computational performance was substantially increased by the elimination of scattered interpolation. The accuracy and simulation time of the proposed method are compared against a finite element solution and also against experimental results from existing literature. The proposed method provides accuracy comparable to that of finite element methods, achieving an order of magnitude reduction in simulation time.