Moving mesh version of wave propagation algorithm based on augmented Riemann solver

Bagherpoorfard, Mina; Soheili, Ali Reza

doi:10.1016/j.amc.2020.125087

Cited by 2 publications

(1 citation statement)

References 76 publications

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“…Adaptive FEM, which was proposed by the pioneering work in [26], is becoming an active field in scientific and engineer computations for its high efficiency among various kinds of finite element methods.To achieve a higher accuracy and minimize the computational work as much as possible, adaptive FEM is undoubtedly a particularly appropriate finite element tool in solving PDEs [27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Moving Mesh Method for Solving Optimal Control Problems in Viscous Incompressible Fluid

Xue

Duan

2022

Symmetry

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An adaptive moving mesh method for optimal control problems in viscous incompressible fluid is proposed with the incompressible Navier–Stokes system used to describe the motion of the fluid. The moving distance of nodes in the adopted mesh moving strategy is found by solving a diffusion equation with source terms, and an algorithm that fully considers the characteristics of the control problem is given with symmetry reduction to the incompressible Navier–Stokes equations. Numerical examples are provided to show that the proposed algorithm can solve the optimal control problem stably and efficiently on the premise of ensuring high precision.

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Section: Introductionmentioning

confidence: 99%

An Adaptive Moving Mesh Method for Solving Optimal Control Problems in Viscous Incompressible Fluid

Xue

Duan

2022

Symmetry

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A novel moving mesh method for solving fluid dynamic equations

Duan

Qin

2020

AIP Advances

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In this article, a novel moving finite elements method has been presented and applied to solve two typical fluid dynamic equations. Different from the existing methods, the moving direction and the distance of the nodes were obtained by solving a variable coefficient diffusion equation. By this method, neither the mapping of the region nor the smoothing of the monitoring function is needed. Therefore, the proposed method is easy to be implemented. Numerical examples show that the proposed method can move the nodes to the position where the solution changed drastically, and the resolution of numerical solutions has improved distinctly.

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Moving mesh version of wave propagation algorithm based on augmented Riemann solver

Cited by 2 publications

References 76 publications

An Adaptive Moving Mesh Method for Solving Optimal Control Problems in Viscous Incompressible Fluid

An Adaptive Moving Mesh Method for Solving Optimal Control Problems in Viscous Incompressible Fluid

A novel moving mesh method for solving fluid dynamic equations

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