Perfectly matched layers for the heat and advection-diffusion equations

Lantos N.; Nataf F.

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Perfectly matched layers for the heat and advection-diffusion equations

机译：热和对流扩散方程的完美匹配层

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摘要

We design a perfectly matched layer for the advection-diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and this independently of the advection and of the viscosity. Numerical tests assess the efficiency of the approach.

机译：我们为平流扩散方程设计了一个完美匹配的层。我们显示出，反射系数相对于阻尼参数和PML的宽度呈指数级减小，而这与对流和粘度无关。数值测试评估了该方法的效率。

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来源
《Journal of Computational Physics》 |2010年第24期|共11页
作者
Lantos N.; Nataf F.;
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正文语种 eng
中图分类数学物理方法;
关键词
Boundary condition; Convection diffusion equations; Finite element method; Perfectly matched layers;

机译：边界条件对流扩散方程有限元法完全匹配层;

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1. Perfectly matched layers for the heat and advection-diffusion equations [Couches parfaitement adaptées pour les équations de la chaleur et d'advection-diffusion] [J] . Lantos N., Nataf F. Comptes rendus. Mathematique . 2010,第13a14期

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3. A property-dependent Perfectly Matched Layer with a single additional layer for Maxwell's equations in finite difference frequency domains [J] . Ji Dongqi, Wang Qi, Chen Zhangxing, Computer Methods in Applied Mechanics and Engineering . 2020,第Pta1期

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5. Time-Domain Analysis of Fractional Wave Equations and Implementations of Perfectly Matched Layers in Nonlinear Ultrasound Simulations. [D] . Zhao, Xiaofeng. 2018

机译：分数阶方程的时域分析和非线性超声模拟中完美匹配层的实现。
6. A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics [O] . Barbara Kaltenbacher, Manfred Kaltenbacher, Imbo Sim -1

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7. Perfectly Matched Layers for the heat and advection-diffusion equations [O] . Lantos Nicolas, Nataf Frédéric 2010

机译：热和对流扩散方程的完美匹配层

Perfectly matched layers for the heat and advection-diffusion equations

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