Numerical Simulation of 2-D Relativistic Hydrodynamics Using Adaptive Mesh Refinement Technique

2006 ◽  
Author(s):  
Kyujin Kwak
Keyword(s):  
Numerical Simulation ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Relativistic Hydrodynamics

scholarly journals Numerical simulation of current sheet formation in a quasiseparatrix layer using adaptive mesh refinement

2011 ◽  
Vol 18 (3) ◽  
pp. 032902 ◽  
Author(s):  
Frederic Effenberger ◽  
Kay Thust ◽  
Lukas Arnold ◽  
Rainer Grauer ◽  
Jürgen Dreher
Keyword(s):  
Numerical Simulation ◽  
Current Sheet ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh

Numerical simulation of filamentary discharges with parallel adaptive mesh refinement

2008 ◽  
Vol 227 (13) ◽  
pp. 6574-6590 ◽  
Author(s):  
S. Pancheshnyi ◽  
P. Ségur ◽  
J. Capeillère ◽  
A. Bourdon
Keyword(s):  
Numerical Simulation ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh

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 Long GRBs and Supernovae from Collapsars

2005 ◽  
Vol 192 ◽  
pp. 417-423
Author(s):  
A.I. MacFadyen
Keyword(s):  
High Resolution ◽  
Adaptive Mesh Refinement ◽  
Gamma Ray ◽  
Massive Stars ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Gamma Ray Bursts ◽  
Relativistic Hydrodynamics ◽  
Long Duration ◽  
Relativistic Flow

SummaryLong duration gamma-ray bursts are associated with the death of massive stars as earlier observations and theoretical arguments had suggested. Supernova 2003dh observed with GRB030329 confirms this picture. Current progress in developing numerical special relativistic hydrodynamics codes with adaptive mesh refinement is allowing for high-resolution simulations of relativistic flow relevant for simulations of GRBs.

Numerical Simulation of Solitary Wave Breaking With Adaptive Mesh Refinement

2019 ◽  
Author(s):  
Yunxing Zhang ◽  
Wenyang Duan ◽  
Kangping Liao ◽  
Shan Ma ◽  
Guihua Xia
Keyword(s):  
Numerical Simulation ◽  
Solitary Wave ◽  
Wave Breaking ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Surface Flow ◽  
Vof Method ◽  
Numerical Results ◽  
Fractional Step Method

Abstract The numerical simulation of wave breaking problem is still a tough challenge, partly due to the large grid number and CPU time requirement for capturing the multi-scale structures embedded in it. In this paper, a two-dimensional two-phase flow model with Adaptive Mesh Refinement (AMR) is proposed for simulating solitary wave breaking problems. Fractional step method is employed for the velocity-pressure decoupling. The free surface flow is captured with the Volume-of-Fluid (VOF) method combined with Piecewise Linear Interface Calculation (PLIC) for the reconstruction of the interface. Immersed boundary (IB) method is utilized to account for the existence of solid bodies. A geometric multigrid method is adopted for the solution of Pressure Poisson Equation (PPE). Benchmark case of advection test is considered first to test the VOF method. Then the solitary wave propagation problem is utilized to validate the model on AMR grid as well as analyze the efficiency of AMR. Furthermore, the solitary wave past a submerged stationary stage problem is simulated to validate the combined IB-VOF-AMR model. All the numerical results are compared with analytic solutions, experimental data or other published numerical results, and good agreements are obtained. Finally, the influence of stage height on the occurrence of wave breaking is analyzed. The locations of wave breaking are summarized for different stage heights.

scholarly journals Numerical Simulation of Global-Scale Atmospheric Chemical Transport with High-Order Wavelet-Based Adaptive Mesh Refinement Algorithm

2016 ◽  
Vol 144 (4) ◽  
pp. 1469-1486 ◽  
Author(s):  
A. N. Semakin ◽  
Y. Rastigejev
Keyword(s):  
Numerical Simulation ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Computational Cost ◽  
Adaptive Mesh ◽  
Chemical Transport ◽  
Global Scale ◽  
High Order ◽  
Computational Domain ◽  
Grid Points

Abstract High computational cost associated with numerical modeling of multiscale global atmospheric chemical transport (ACT) imposes severe limitations on the spatial resolution of fixed nonadaptive grids. Recently it has been shown that the interaction of numerical diffusion caused by the crude resolution with complex velocity field of atmospheric flows leads to large numerical errors. To address the described difficulties, the authors have developed a wavelet-based adaptive mesh refinement (WAMR) method for numerical simulation of two-dimensional multiscale ACT problems. The WAMR is an adaptive method that minimizes the number of grid points by introducing a fine grid only in the locations where fine spatial scales occur and uses high-order spatial discretization throughout the computational domain. The algorithm has been tested for several challenging ACT problems. Particularly, it is shown that the method correctly simulates dynamics of a pollution plume traveling on a global scale, producing less than 1% error with a relatively low number (~105) of grid points. To achieve such accuracy, conventional nonadaptive techniques would require more than three orders of magnitude more computational resources. The method possesses good mass conservation properties; it is shown that an error in the total pollutant mass does not exceed 0.02% for this number of points. The obtained results demonstrate the WAMR’s ability to achieve high numerical accuracy for challenging ACT problems at a relatively low computational cost.

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