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首页> 外文期刊>Journal of Computational Physics >An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme
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An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme

机译：具有时间外推技术的非线性扩散方程的有效并联迭代算法和雅典显式方案

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摘要

To numerically simulate the radiation diffusion problem with high parallel efficiency, we present a new parallel iteration algorithm for nonlinear diffusion equations. The algorithm is based on the domain decomposition method, and it integrates time extrapolation techniques and an advanced Jacobi explicit scheme. The domain decomposition method decomposes a large global problem into multiple sub-problems which can be solved on multiple processors in parallel. The time extrapolation technique gives the prediction values with the second or third order accuracy in time for the current time layer by specific combinations of the previous two or three time layers. The advanced Jacobi explicit scheme further improves the precision of the prediction values. Overall, the proposed algorithm makes the prediction values of the inner boundary more reasonable and offers accurate iterative initial values for all cells, which reduces the number of nonlinear iterations and improves the parallel computation efficiency remarkably. (C) 2021 Elsevier Inc. All rights reserved.
机译：为了以高并行效率数值模拟辐射扩散问题，我们提出了一种新的非线性扩散方程并行迭代算法。该算法基于区域分解法，集成了时间外推技术和先进的雅可比显式格式。区域分解法将一个大的全局问题分解为多个子问题，这些子问题可以在多个处理器上并行求解。时间外推技术通过前两个或三个时间层的特定组合，给出当前时间层具有二阶或三阶时间精度的预测值。改进的Jacobi显式格式进一步提高了预测值的精度。总体而言，该算法使内边界的预测值更加合理，并为所有单元提供了精确的迭代初值，从而减少了非线性迭代次数，显著提高了并行计算效率。（c）2021爱思唯尔公司保留所有权利。

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