Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes†

2021 ◽  
Author(s):  
Jooyoung Hahn ◽  
Karol Mikula ◽  
Peter Frolkovič ◽  
Branislav Basara
Keyword(s):  
Boundary Condition ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Distance Function ◽  
Signed Distance Function ◽  
Signed Distance ◽  
Polyhedral Meshes ◽  
Volume Method

301 Moving-Grid Finite-Volume Method using Polyhedral Meshes

2013 ◽  
Vol 2013.26 (0) ◽  
pp. _301-1_-_301-2_
Author(s):  
Daichi TANIO ◽  
Masashi YAMAKAWA ◽  
Kenichi MATSUNO
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Moving Grid ◽  
Polyhedral Meshes ◽  
Volume Method

scholarly journals A Low Dissipative and Stable Cell-Centered Finite Volume Method with the Simultaneous Approximation Term for Compressible Turbulent Flows

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1206
Author(s):  
Myeongseok Kang ◽  
Donghyun You
Keyword(s):  
Boundary Condition ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Simultaneous Approximation ◽  
Summation By Parts ◽  
Eddy Simulation ◽  
Characteristic Boundary ◽  
Simultaneous Approximation Term ◽  
Characteristic Boundary Condition ◽  
Volume Method

A simultaneous-approximation term is a non-reflecting boundary condition that is usually accompanied by summation-by-parts schemes for provable time stability. While a high-order convective flux based on reconstruction is often employed in a finite-volume method for compressible turbulent flow, finite-volume methods with the summation-by-parts property involve either equally weighted averaging or the second-order central flux for convective fluxes. In the present study, a cell-centered finite-volume method for compressible Naiver–Stokes equations was developed by combining a simultaneous-approximation term based on extrapolation and a low-dissipative discretization method without the summation-by-parts property. Direct numerical simulations and a large eddy simulation show that the resultant combination leads to comparable non-reflecting performance to that of the summation-by-parts scheme combined with the simultaneous-approximation term reported in the literature. Furthermore, a characteristic boundary condition was implemented for the present method, and its performance was compared with that of the simultaneous-approximation term for a direct numerical simulation and a large eddy simulation to show that the simultaneous-approximation term better maintained the average target pressure at the compressible flow outlet, which is useful for turbomachinery and aerodynamic applications, while the characteristic boundary condition better preserved the flow field near the outlet.

Finite Volume Method for Fractional Maxwell Viscoelastic Fluid Over a Moving Plate With Convective Boundary Condition

2020 ◽  
Vol 142 (11) ◽  
Author(s):  
Jinhu Zhao
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Viscoelastic Fluid ◽  
Convective Boundary Condition ◽  
Moving Plate ◽  
Convective Boundary ◽  
Flow And Heat Transfer ◽  
Volume Method

Abstract A novel finite volume method about the boundary layer flow and heat transfer of fractional viscoelastic fluid over a moving plate with convective boundary condition is developed. The fractional Maxwell model and fractional Fourier's law are employed in the constitutive relations. Numerical solutions are obtained and validated by exact solutions of special case with source terms. The effects of fractional parameters on the flow and heat transfer characteristics are analyzed. Results show that the viscoelastic fluid performs shear-thickening property with the increase of fractional parameter. Moreover, the variations of the average Nusselt number demonstrate that the viscoelastic fluid characterized by fractional Fourier's law has short memory in heat conduction process.

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