Advanced search
Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 31, 1997 - Issue 2
Submit an article Journal homepage
1,881
Views
370
CrossRef citations to date
0
Altmetric
Original Articles

A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES

S. R. Mathur Fluent, Inc, 10 Cavendish Court, Lebanon, New Hampshire, 03766, USACorrespondenceE-mail: [email protected]
&
J. Y. Murthy Fluent, Inc, 10 Cavendish Court, Lebanon, New Hampshire, 03766, USA
Pages 195-215 | Received 01 Jul 1996, Accepted 05 Aug 1996, Published online: 17 Apr 2007
 
Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days

Abstract

This article presents a finite-volume scheme for multidimensional incompressible flows. Unstructured, solution-adaptive meshes composed of arbitrary convex palyhedra are used. A cell-centered equal-order formulation is developed. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are found by linear reconstruction. An additive-correction multigrid scheme is used to solve the resulting discrete equations. Pressure and velocity are stored at cell centers; momentum interpolation is used to prevent pressure checkerboarding. The SIMPLE algorithm is used for pressure-velocity coupling. Schemes for hanging-node and conformed adaption are implemented. The scheme is applied to benchmark problems using a variety of quadrilateral/hexahedral, triangular/tetrahedral, and hybrid meshes, and is shown to perform satisfactorily.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Numerical Study About Buffet Characteristics and Attenuation of Vertical Tail at High Angles of Attack
Source: Springer Science and Business Media LLC
An algebraic multigrid solver for Navier‐Stokes problems
Source: Wiley
Numerical Schemes for the Convection-Diffusion Equation Using a Meshless Finite-Difference Method
Source: Informa UK Limited
Bruggeman's Exponents for Effective Thermal Conductivity of Lithium-Ion Battery Electrodes
Source: The Electrochemical Society
Active Mixing of Disparate Inks for Multimaterial 3D Printing
Source: Wiley
A CONTROL VOLUME-BASED FINITE-ELEMENT METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS USING EQUAL-ORDER VELOCITY-PRESSURE INTERPOLATION
Source: Informa UK Limited
Numerical simulation of mold filling in injection molding using a three‐dimensional finite volume approach
Source: Wiley
Finite Volume Method for Radiative Heat Transfer Using Unstructured Meshes
Source: American Institute of Aeronautics and Astronautics (AIAA)
A Multi-Dimensional Linear Reconstruction Scheme for Arbitrary Unstructured Mesh
Source: American Institute of Aeronautics and Astronautics (AIAA)
A multigrid method based on the additive correction strategy
Source: Informa UK Limited
Control Volume Finite-Element Method for Heat Transfer and Fluid Flow Using Colocated Variables— 1. Computational Procedure
Source: Informa UK Limited
Mesoscale Electrochemical Performance Simulation of 3D Interpenetrating Lithium-Ion Battery Electrodes
Source: The Electrochemical Society
CFD Prediction of Airfoil Drag in Viscous Flow Using the Entropy Generation Method
Source: Hindawi Limited
Pressure-Based Finite-Volume Methods in Computational Fluid Dynamics
Source: ASME International
Simulation of Thermal Transport in Open-Cell Metal Foams: Effect of Periodic Unit-Cell Structure
Source: ASME International
Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology
Source: Elsevier BV
Numerical Analysis of Convective Heat Transfer From an Elliptic Pin Fin Heat Sink With and Without Metal Foam Insert
Source: ASME International
Multi-level adaptive solutions to boundary-value problems
Source: American Mathematical Society (AMS)
Direct simulation of transport in open-cell metal foam
Source: ASME International
Parallel Implicit Adaptive Mesh Refinement for Unsteady Fully-Compressible Reactive Flows
Source: American Institute of Aeronautics and Astronautics (AIAA)
Prediction of Surficial Pressure Loading for an Underwater Projectile Using CFD-Based Database
Source: Springer Science and Business Media LLC
A Simple-Based Control Volume Method for Compressible Flows on Arbitrary Grids
Source: American Institute of Aeronautics and Astronautics (AIAA)
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Source: Elsevier BV
A PRESSURE CORRECTION METHOD FOR UNSTRUCTURED MESHES WITH ARBITRARY CONTROL VOLUMES
Source: Wiley
A Numerical Method for Solving Incompressible Viscous Flow Problems
Source: Elsevier BV
Primitive variable, strongly implicit calculation procedure for viscous flows at all speeds
Source: American Institute of Aeronautics and Astronautics (AIAA)
Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation
Source: American Institute of Aeronautics and Astronautics (AIAA)
A CONTROL VOLUME FINITE-ELEMENT METHOD FOR TWO-DIMENSIONAL FLUID FLOW AND HEAT TRANSFER
Source: Informa UK Limited
Analysis of Different Numerical Schemes for the Resolution of Convection-Diffusion Equations using Finite-Volume Methods on Three-Dimensional Unstructured Grids. Part I: Discretization Schemes
Source: Informa UK Limited
Fluid flow and heat transfer test problems for non‐orthogonal grids: Bench‐mark solutions
Source: Wiley
A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier-Stokes Simulations of Transitional Flow
Source: ASME International
An Implicit Fractional-Step Method for Efficient Transient Simulation of Incompressible Flows
Source: American Institute of Aeronautics and Astronautics (AIAA)
Implicit Solution of Preconditioned Navier- Stokes Equations Using Algebraic Multigrid
Source: American Institute of Aeronautics and Astronautics (AIAA)
A Pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations
Source: Elsevier BV
A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh
Source: Global Science Press
Plasma Volumetric Effects on the Force Production of a Plasma Actuator
Source: American Institute of Aeronautics and Astronautics (AIAA)
Pressure based calculation procedure for viscous flows at all speeds in arbitrary configurations
Source: American Institute of Aeronautics and Astronautics (AIAA)
Numerical performance simulation of a wetted wall bioaerosol sampling cyclone
Source: Informa UK Limited
Assessment of two approaches to accelerate RANS to LES transition in shear layers in the framework of ANSYS-FLUENT
Source: IOP Publishing
A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equations☆
Source: Elsevier BV
Multigrid Calculation of Steady, Viscous Flow in a Triangular Cavity
Source: Elsevier BV
An unstructured finite volume projection method for pulsatile flows through an asymmetric stenosis
Source: Springer Science and Business Media LLC
Computational Fluid Dynamics
Source: John Wiley & Sons, Inc.
Real-time temperature estimation with enhanced spatial resolution during MR-guided hyperthermia therapy
Source: Informa UK Limited
Numerical Simulation of Horizontal Axis Wind Turbines with Vortex Generators
Source: Springer Science and Business Media LLC
ROLE OF UNDERRELAXATION IN MOMENTUM INTERPOLATION FOR CALCULATION OF FLOW WITH NONSTAGGERED GRIDS
Source: Informa UK Limited
Effect of Volumetric Momentum Addition on the Total Force Production of a Plasma Actuator
Source: American Institute of Aeronautics and Astronautics (AIAA)
Discretization and parallel performance of an unstructured finite volume Navier–Stokes solver
Source: Wiley
Computational Heat Transfer in Complex Systems: A Review of Needs and Opportunities
Source: Purdue University

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.