scholarly journals Numerical Simulation of Wave (Shock Profile) Propagation of the Kuramoto-Sivashinsky Equation Using an Adaptive Mesh Method

2018 ◽  
Author(s):  
Denson Muzadziwa ◽  
Stephen T. Sikwila ◽  
Stanford Shateyi
Keyword(s):  
Numerical Simulation ◽  
Adaptive Mesh ◽  
Adaptive Mesh Method ◽  
Mesh Method ◽  
Shock Profile ◽  
Sivashinsky Equation ◽  
Profile Propagation

A parallel adaptive mesh method for the numerical simulation of multiphase flows

2013 ◽  
Vol 87 ◽  
pp. 115-131 ◽  
Author(s):  
Joseph M. Rodriguez ◽  
Onkar Sahni ◽  
Richard T. Lahey ◽  
Kenneth E. Jansen
Keyword(s):  
Numerical Simulation ◽  
Multiphase Flows ◽  
Adaptive Mesh ◽  
Adaptive Mesh Method ◽  
Mesh Method

Structural topology optimization without ersatz material approach using the adaptive mesh method

2020 ◽  
Vol 2020.30 (0) ◽  
pp. 2105
Author(s):  
Yoshinori KOIKE ◽  
Takayuki YAMADA ◽  
Benliang ZHU ◽  
Kazuhiro IZUI ◽  
Shinji NISHIWAKI
Keyword(s):  
Topology Optimization ◽  
Adaptive Mesh ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Adaptive Mesh Method ◽  
Mesh Method

scholarly journals Simulation of Vortex Shedding behind a Flat Plate with Vorticity Based Adaptive Spectral Element Method

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
Li-Chieh Hsu ◽  
Guo-Jhih Gao
Keyword(s):  
Flat Plate ◽  
Spectral Element Method ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Spectral Element ◽  
Flow Past ◽  
Adaptive Mesh Method ◽  
Mesh Method ◽  
Estimated Error ◽  
Element Method

Vorticity error based adaptive meshes refinement scheme is developed and employed using spectral element method to simulate flow past object problems. In general, it is hard to predict and enhance meshes effectively in a region where the error is larger in the computational domain by using the conforming mesh method. Employing finer meshes throughout the whole domain leads to lengthy computational time and excessive storage. Therefore, an indicator is used to predict the regions where larger errors exist and mesh refinement is needed. To compare the efficiency of indicators, three kinds of properties are used as mesh refinement indicators, including the synthesis of velocity and pressure estimated error, vorticity estimated error, and estimated error decay rate. Simulations of the cavity flow in Re = 100 and 1000 and the cases of flow past an inclined flat plate in Re = 100 to 1000 are performed with the adaptive mesh method and conforming mesh method. The results show that the adaptive mesh method can provide the same accuracy as that of the conforming mesh method with only 62% of the elements.

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