The adaptive wavelet collocation method and its application in front simulation

2010 ◽  
Vol 27 (3) ◽  
pp. 594-604 ◽  
Author(s):  
Wenyu Huang ◽  
Rongsheng Wu ◽  
Juan Fang
Keyword(s):  
Collocation Method ◽  
Adaptive Wavelet ◽  
Wavelet Collocation Method

scholarly journals Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows

Fluids ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 83
Author(s):  
Giuliano De Stefano ◽  
Oleg V. Vasilyev
Keyword(s):  
Modeling And Simulation ◽  
Collocation Method ◽  
Turbulent Flows ◽  
Stokes Equations ◽  
Adaptive Methods ◽  
Short Review ◽  
Wavelet Thresholding ◽  
Modeling Framework ◽  
Adaptive Wavelet ◽  
Wavelet Collocation Method

A short review of wavelet-based adaptive methods for modeling and simulation of incompressible turbulent flows is presented. Wavelet-based computational modeling approaches of different fidelities are recast into an integrated hierarchical adaptive eddy-capturing turbulence modeling framework. The wavelet threshold filtering procedure and the associated wavelet-filtered Navier–Stokes equations are briefly discussed, along with the adaptive wavelet collocation method that is used for numerical computations. Depending on the level of wavelet thresholding, the simulation is possibly supplemented with a localized closure model. The latest advancements in spatiotemporally varying wavelet thresholding procedures along with the adaptive-anisotropic wavelet-collocation method make the development of a fully adaptive approach feasible with potential applications for complex turbulent flows.

An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere

2018 ◽  
Vol 15 (08) ◽  
pp. 1850080
Author(s):  
Ratikanta Behera ◽  
Mani Mehra
Keyword(s):  
Numerical Simulation ◽  
Collocation Method ◽  
Second Generation ◽  
Efficient Computation ◽  
Adaptive Wavelet ◽  
Spherical Wavelets ◽  
Collocation Points ◽  
Wavelet Collocation Method ◽  
Uniform Grids ◽  
Convection Dominated

In this paper, we present a numerical simulation of a convection-dominated problem using adaptive wavelet collocation method. This is based on second-generation spherical wavelets on a recursively refined spherical geodesic grid. The power lies in the fact that they only require small number of coefficients to represent this problem more accurately, which allows compression and efficient computation. In contrast with other approximate schemes, this approach reduced the number of collocation points used by factors of many orders of magnitude when compared to uniform grids of equivalent resolution. Numerical results demonstrate the efficiency of our approach.

scholarly journals Adaptive wavelet collocation method on the shallow water model

2014 ◽  
Vol 271 ◽  
pp. 342-359 ◽  
Author(s):  
Shanon M. Reckinger ◽  
Oleg V. Vasilyev ◽  
Baylor Fox-Kemper
Keyword(s):  
Shallow Water ◽  
Collocation Method ◽  
Water Model ◽  
Shallow Water Model ◽  
Adaptive Wavelet ◽  
Wavelet Collocation Method
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