A FLUX-BASED CONSERVATION APPROACH FOR ACOUSTIC PROBLEMS

2008 ◽  
Vol 16 (01) ◽  
pp. 31-53
Author(s):  
NADIA MASSÉ ◽  
CHRISTIAN PRAX ◽  
EMMANUEL REDON
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Control Volume ◽  
Dispersion Analysis ◽  
Two Dimensional ◽  
Field Behavior ◽  
Determination Process ◽  
Spatial Convergence ◽  
Control Volume Finite Element

In this paper a Control Volume Finite Element Method for harmonic acoustic problems is presented. A dispersion analysis for control volume constructed on Q1 finite elements is compared to Galerkin FEM. The spatial convergence is also given in an eigenfrequency determination process for a cavity. The application for exterior acoustic problems is also studied by dividing the whole field into inner and outer domains using a fictitious boundary. A control volume formulation is used to compute the inner field of the truncated problem, and several approaches are combined to describe the outer field behavior on the outside of the fictitious boundary. The task of coupling is easily implemented through the balance of local flux through polygonal volumes. A two-dimensional configuration with a circular interface demonstrates the validity of this approach.

scholarly journals LARGE EDDY SIMULATION OF TURBULENT INCOMPRESSIBLE FLUID FLOWS BY A NINE-NODES CONTROL VOLUME-FINITE ELEMENT METHOD

2005 ◽  
Vol 4 (2) ◽  
pp. 173
Author(s):  
J. B. C. Silva ◽  
S. S. Mansur ◽  
R. C. Lima
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Control Volume ◽  
Fluid Flows ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Turbulent Incompressible Fluid ◽  
Incompressible Fluid Flows ◽  
Control Volume Finite Element

The main purpose of this work is the numerical computation of turbulent incompressible fluid flows by a nine-node control volume finite element method (CVFEM) using the methodology of large-eddy simulation.. The domain is discretized using nine nodes finite elements and the equations are integrated into control volumes around the nodes of the finite elements. The Navier?Stokes equations are filtered for simulation of the large scales variables and the sub-grid scales stress appearing due to the filtering process are modeled through the eddy viscosity model of Smagorinsky. The two-dimensional benchmark problem of the lid-driven cavity flow is solved to validate the numerical code and preliminary results for the horizontal and vertical velocity profiles at the centerlines of the cavity and the stream functions are presented and compared with available results from the literature.

scholarly journals LARGE EDDY SIMULATION OF TURBULENT INCOMPRESSIBLE FLUID FLOWS BY A NINE-NODES CONTROL VOLUME-FINITE ELEMENT METHOD

2005 ◽  
Vol 4 (2) ◽  
Author(s):  
J. B. C. Silva ◽  
S. S. Mansur ◽  
R. C. Lima
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Control Volume ◽  
Fluid Flows ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Turbulent Incompressible Fluid ◽  
Incompressible Fluid Flows ◽  
Control Volume Finite Element

The main purpose of this work is the numerical computation of turbulent incompressible fluid flows by a nine-node control volume finite element method (CVFEM) using the methodology of large-eddy simulation.. The domain is discretized using nine nodes finite elements and the equations are integrated into control volumes around the nodes of the finite elements. The Navier?Stokes equations are filtered for simulation of the large scales variables and the sub-grid scales stress appearing due to the filtering process are modeled through the eddy viscosity model of Smagorinsky. The two-dimensional benchmark problem of the lid-driven cavity flow is solved to validate the numerical code and preliminary results for the horizontal and vertical velocity profiles at the centerlines of the cavity and the stream functions are presented and compared with available results from the literature.

Transient Rayleigh-Bénard Thermal Convection With Radiation Heat Transfer in Participating Media Using the Control Volume Finite Element Method (CVFEM) and Lattice Boltzmann Method

2021 ◽  
Author(s):  
Raoudha Chaabane ◽  
Abdelmajid Jemni ◽  
Fethi Aloui
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann Method ◽  
Thermal Convection ◽  
Lattice Boltzmann ◽  
Control Volume ◽  
Two Dimensional ◽  
Boltzmann Method ◽  
Control Volume Finite Element ◽  
Rayleigh Benard

Abstract In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Benard thermal convection transfer in a two-dimensional cavity containing an absorbing, emitting, and scattering medium, where the flow field and temperature field are described by two coupled Lattice Boltzmann Method (LBM) BGK models. Heat radiation is solved using the Control Volume Finite Element Method (CVFEM). The two-dimensional Rayleigh-Benard thermal convection with radiation is studied and numerical results are compared with some available benchmark solutions and a good agreement has been observed.

Sign in / Sign up

Export Citation Format

Share Document