X-Ray--heated Coronae and Winds from Accretion Disks: Time-dependent Two-dimensional Hydrodynamics with Adaptive Mesh Refinement

1996 ◽  
Vol 461 ◽  
pp. 767 ◽  
Author(s):  
D. Tod Woods ◽  
Richard I. Klein ◽  
John I. Castor ◽  
Christopher F. McKee ◽  
John B. Bell
Keyword(s):  
Accretion Disks ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Time Dependent ◽  
Two Dimensional ◽  
X Ray

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.

scholarly journals Moving Adaptive Unstructured 3-D Meshes in Semiconductor Process Modeling Applications

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 373-378 ◽  
Author(s):  
Andrew Kuprat ◽  
Denise George ◽  
Eldon Linnebur ◽  
Harold Trease ◽  
R. Kent Smith
Keyword(s):  
Adaptive Mesh Refinement ◽  
Moving Boundary ◽  
Dopant Concentration ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Time Dependent ◽  
Tetrahedral Mesh ◽  
Piecewise Linear Approximation ◽  
Mesh Smoothing ◽  
Semiconductor Process

The next generation of semiconductor process and device modeling codes will require 3-D mesh capabilities including moving volume and surface grids, adaptive mesh refinement and adaptive mesh smoothing. To illustrate the value of these techniques, a time dependent process simulation model was constructed using analytic functions to return time dependent dopant concentration and time dependent SiO2 volume and surface velocities. Adaptive mesh refinement and adaptive mesh smoothing techniques were used to resolve the moving boron dopant diffusion front in the Si substrate. The adaptive mesh smoothing technique involves minimizing the L2 norm of the gradient of the error between the true dopant concentration and the piecewise linear approximation over the tetrahedral mesh thus assuring that the mesh is optimal for representing evolving solution gradients. Also implemented is constrained boundary smoothing, wherein the moving SiO2/Si interface is represented by moving nodes that correctly track the interface motion, and which use their remaining degrees of freedom to minimize the aforementioned error norm. Thus, optimal tetrahedral shape and alignment is obtained even in the neighborhood of a moving boundary. If desired, a topological “reconnection” step maintains a Delaunay mesh at all times. The combination of adaptive refinement, adaptive smoothing, and mesh reconnection gives excellent front tracking, feature resolution, and grid quality for finite volume/finite element computation.

scholarly journals Two-dimensional adaptive mesh refinement simulations of colliding flows

2009 ◽  
Vol 506 (2) ◽  
pp. 1065-1070 ◽  
Author(s):  
M. Niklaus ◽  
W. Schmidt ◽  
J. C. Niemeyer
Keyword(s):  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Two Dimensional
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