Convergence Acceleration for Heat Transfer and Structural Simulations Using Adaptive Mesh Refinement

2006 ◽  
Author(s):  
Jianhu Nie ◽  
Yitung Chen ◽  
David A. Hopkins ◽  
Lijian Sun ◽  
Hsuan-Tsung Hsieh
Keyword(s):  
Heat Transfer ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Convergence Acceleration ◽  
Heat Transfer Fluid ◽  
Time Cost ◽  
Computational Accuracy ◽  
Finite Element Program ◽  
Cpu Time

A finite element program with h-type mesh adaptation is developed and several test cases for heat transfer, fluid mechanics and structural mechanics are selected for code validations. The element division method is used because of its advantage of avoiding overly twisted elements during mesh refinement and recovery. The adaptive mesh is refined only in the localization region where the feature gradient is high. The overall mesh refinement and the h-adaptive mesh refinement are justified with respect to the computational accuracy and the CPU time cost. Both can improve the computational accuracy. The overall mesh refinement causes the CPU time to greatly increase. However, the CPU time does not increase very much with the increase of the level of h-adaptive mesh refinement. The CPU time cost can be saved using the developed program by orders of magnitude, especially for the system with a large number of elements and nodes.

Development of an Object-Oriented Program With Adaptive Mesh Refinement for Heat Transfer Simulations

2007 ◽  
Author(s):  
Jianhu Nie ◽  
David A. Hopkins ◽  
Yitung Chen ◽  
Hsuan-Tsung Hsieh
Keyword(s):  
Heat Transfer ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Object Oriented ◽  
Adaptive Mesh ◽  
Time Cost ◽  
Test Bed ◽  
Element Analysis ◽  
Cpu Time

A 2D/3D object-oriented program with h-type adaptive mesh refinement method is developed for finite element analysis of the multi-physics applications including heat transfer. A framework with some basic classes that enable the code to be built accordingly to the type of problem to be solved is proposed. The program consists of different modules and classes, which ease code development for large-scale complex systems, code extension and program maintenance. The developed program can be used as a “test-bed” program for testing new analysis techniques and algorithms with high extensibility and flexibility. The overall mesh refinement causes the CPU time cost to greatly increase as the mesh is refined. However, the CPU time cost does not increase very much with the increase of the level of h-adaptive mesh refinement. The CPU time cost can be saved by up to 90%, especially for the simulated system with a large number of elements and nodes.

APPLICATION OF ADAPTIVE MESH REFINEMENT IN NUMERICAL SIMULATION OF GAS DETONATION

2010 ◽  
Vol 24 (13) ◽  
pp. 1337-1340 ◽  
Author(s):  
CHENG WANG ◽  
TIANBAO MA
Keyword(s):  
Numerical Simulation ◽  
Adaptive Mesh Refinement ◽  
Detonation Front ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Weno Scheme ◽  
Computational Time ◽  
Two Dimensional ◽  
Computational Accuracy ◽  
Gas Detonation

In this paper the two-dimensional Euler equations, with a simple chemical reaction model, are used as the governing equations for the detonation problem. The spatial derivatives are evaluated using the fifth-order WENO scheme, and the third-order TVD Runge-Kutta method is employed for the temporal derivative. The characteristics of the two-dimensional detonation in an argon-diluted mixture of hydrogen and oxygen are investigated using Adaptive Mesh Refinement (AMR) method. From computational accuracy point of view, AMR enables the detonation front to be clearer than the method with basic meshes. From the other point of computational time, AMR also saves about half the time as compared with the case of refining the entire field. It is obvious that AMR not only increases the resolution of local field, but also improves the efficiency of numerical simulation.

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