scholarly journals Implementation of Charcteristic Based Volume Penalization Method On Unstructured Meshes

2021 ◽  
Author(s):  
I. Abalakin ◽  
T. Kozubskaya ◽  
O. Vasilyev ◽  
N. Zhdanova
Keyword(s):  
Unstructured Meshes ◽  
Penalization Method ◽  
Volume Penalization Method

Characteristic Based Volume Penalization Method for Numerical Simulation of Compressible Flows on Unstructured Meshes

2021 ◽  
Vol 61 (8) ◽  
pp. 1315-1329
Author(s):  
I. V. Abalakin ◽  
O. V. Vasilyev ◽  
N. S. Zhdanova ◽  
T. K. Kozubskaya
Keyword(s):  
Numerical Simulation ◽  
Compressible Flows ◽  
Unstructured Meshes ◽  
Penalization Method ◽  
Volume Penalization Method

scholarly journals A New Approach for Error Reduction in the Volume Penalization Method

2014 ◽  
Vol 16 (5) ◽  
pp. 1181-1200 ◽  
Author(s):  
Wakana Iwakami ◽  
Yuzuru Yatagai ◽  
Nozomu Hatakeyama ◽  
Yuji Hattori
Keyword(s):  
Diffusion Equation ◽  
Stokes Equations ◽  
Error Reduction ◽  
Penalization Method ◽  
New Approach ◽  
One Dimensional ◽  
Dimensional Diffusion ◽  
Mask Function ◽  
The One ◽  
Volume Penalization Method

AbstractA new approach for reducing error of the volume penalization method is proposed. The mask function is modified by shifting the interface between solid and fluid by toward the fluid region, where v and η are the viscosity and the permeability, respectively. The shift length is derived from the analytical solution of the one-dimensional diffusion equation with a penalization term. The effect of the error reduction is verified numerically for the one-dimensional diffusion equation, Burgers’ equation, and the two-dimensional Navier-Stokes equations. The results show that the numerical error is reduced except in the vicinity of the interface showing overall second-order accuracy, while it converges to a non-zero constant value as the number of grid points increases for the original mask function. However, the new approach is effectivewhen the grid resolution is sufficiently high so that the boundary layer,whose width is proportional to , is resolved. Hence, the approach should be used when an appropriate combination of ν and η is chosen with a given numerical grid.

Direct numerical simulation of aeroacoustic sound by volume penalization method

2016 ◽  
Vol 130 ◽  
pp. 24-36 ◽  
Author(s):  
Ryu Komatsu ◽  
Wakana Iwakami ◽  
Yuji Hattori
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Penalization Method ◽  
Volume Penalization Method

scholarly journals Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization

2018 ◽  
Vol 63 ◽  
pp. 280-289
Author(s):  
Yoichi Sawamura ◽  
Katsunori Yoshimatsu ◽  
Kai Schneider
Keyword(s):  
Numerical Solution ◽  
Spectral Method ◽  
Three Dimensional ◽  
Turbulent Channel Flow ◽  
Navier Stokes ◽  
Penalization Method ◽  
Constant Flow Rate ◽  
Slip Boundary ◽  
Wall Bounded Flows ◽  
Volume Penalization Method

The volume penalization method, which allows to impose no-slip boundary conditions, is assessed for wall-bounded flows. For the numerical solution of the penalized equations a spectral method is used. Considering a two-dimensional Poiseuille flow, the solution of the Navier-Stokes penalized equation is computed analytically and the convergence of the numerical solution is studied. To illustrate the properties of the approach we compute a three-dimensional turbulent channel flow imposing a constant flow rate. The obtained results are compared with reference data of Kim et al. [10].

scholarly journals A characteristic based volume penalization method for general evolution problems applied to compressible viscous flows

2014 ◽  
Vol 262 ◽  
pp. 344-357 ◽  
Author(s):  
Eric Brown-Dymkoski ◽  
Nurlybek Kasimov ◽  
Oleg V. Vasilyev
Keyword(s):  
Viscous Flows ◽  
Penalization Method ◽  
Evolution Problems ◽  
Compressible Viscous Flows ◽  
Volume Penalization Method

scholarly journals Numerical study of impeller-driven von Kármán flows via a volume penalization method

2014 ◽  
Vol 16 (10) ◽  
pp. 103001 ◽  
Author(s):  
S Kreuzahler ◽  
D Schulz ◽  
H Homann ◽  
Y Ponty ◽  
R Grauer
Keyword(s):  
Numerical Study ◽  
Penalization Method ◽  
Von Karman ◽  
Von Kármán ◽  
Volume Penalization Method

scholarly journals A Coupled Lattice Boltzmann-Volume Penalization for Flows Past Fixed Solid Obstacles with Local Mesh Refinement

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Kai Guo ◽  
Xiongwei Cui ◽  
Minghao Liu
Keyword(s):  
Lattice Boltzmann ◽  
Mesh Refinement ◽  
Obstacle Problems ◽  
Force Density ◽  
Penalization Method ◽  
Local Mesh Refinement ◽  
Solid Obstacles ◽  
Naca 0012 ◽  
Volume Penalization Method ◽  
Good Agreement

A coupled Lattice Boltzmann-Volume Penalization (LBM-VP) with local mesh refinement is presented to simulate flows past obstacles in this article. Based on the finite-difference LBM, the local mesh refinement is incorporated into the LBM to improve computing efficiency. The volume penalization method is introduced into the LBM by an external forcing term. In the LBM-VP method, the processes of interpolating velocities on the boundaries points and distributing the force density to the Eulerian points near the boundaries are unnecessary. Performing the LBM-VP on a certain point, only the variables of this point are needed, which means the whole procedure can be conducted parallelly. As a consequence, the whole computing efficiency can be improved. To verify the presented method, flows past a single circular cylinder, a pair of cylinders in tandem arrangement, and a NACA-0012 are investigated. A good agreement between the present results and the data in the previous literatures is achieved, which demonstrates the accuracy and effectiveness of the present method to solve the flows past obstacle problems.

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