Finite-Element Method for Three-Dimensional Incompressible Viscous Flow Using Simultaneous Relaxation of Velocity and Bernoulli Function : Flow in a Lid-Driven Cubic Cavity at Re=5000
スポンサーリンク
概要
- 論文の詳細を見る
A simple finite-element method for unsteady incompressible viscous flow is presented. This method is a simplified version of the GSMAC (generalized simplified marker and cell) finite-element method, and it is applicable to large systems. Navier-Stokes equations in rotational form and the equation of continuity are employed as the governing equations. A time-dependent solution is obtained by the following procedures. (1) Prediction of velocity field by explicit time advancement. (2) Correction of both velocity and the Bernoulli function by simultaneous relaxation satisfying the equation of continuity. Unsteady flow in a lid-driven cubic cavity at the Reynolds number of 5000 is numerically investigated to verify the present method. Velocity profiles in the cavity are in good agreement with the experimental results of Prasad and Koseff. The present method is stable in three-dimensional analysis, and nonphysical pressure oscillations are not observed.
- 一般社団法人日本機械学会の論文
- 1992-08-15
著者
-
Kato Yasumasa
Faculty Of Science And Technology Keio University
-
Tanahashi Takahiko
Faculty Of Science And Technology Keio University
-
Tanahashi Takahiko
Faculty Of Engineering Keio University
関連論文
- Three-Dimensional Simulation of Silicon Melt Flow in Electromagnetic Czochralski Crystal Growth
- Finite-Element Method for Three-Dimensional Incompressible Viscous Flow Using Simultaneous Relaxation of Velocity and Bernoulli Function : Flow in a Lid-Driven Cubic Cavity at Re=5000
- GSMAC-FEM for Incompressible Viscous Flow Analysis : A Modified GSMAC Method
- FLOW OF THE ENTRANCE REGION IN A POROUS PIPE : 3RD REPORT : TRANSIENT FLOW
- Numerical Flow Analysis in a Cubic Cavity by the GSMAC Finite-Element Method : In the Case Where the Reynolds Numbers are 1000 and 3200
- A new System of Sensing Film Thickness by Use of Thermal Conduction : Series C : Vibration, Control Engineering, Engineering for Industry
- Theoretical Consideration on the Fundamental Behavior of Conducting Magnetic Fluids : Couette-like Flow
- Analysis of the Waterhammer with Water Column Separation
- Comparisons between Experimental and Theoretical Results of the Waterhammer with Water Column Separations
- Numerical Analysis of Natural Convection of Thermoelectrically Conducting Fluids in a Square Cavity under a Uniform Magnetic Field : Estimation of Induced Heating Term
- Numerical Analysis of Natural Convection of Thermo-Electrically Conducting Fluids in a Square Cavity under a Uniform Magnetic Field : Calculated Results, Frequency Characteristics
- New Hybrid-Streamline-Upwind Finite-Element Method in Dual Space : Fundamental Theory and Discrete Del Operator
- Fundamental Steady F1ow of Polar Fluids
- Entrance Flows of Electrically Conducting Fluids between Two Parallel Plates : Transient and Steady Flows
- GSMAC-A New Finite Element Method for Unsteady Incompressible Viscous Flow Problems : 2nd Report, Flow in a Square Cavity at High Reynolds Numbers : Series B : Fluid Engineering, Heat Transfer, Combustion, Power, Thermophysical Properties
- GSMAC-A New Finite Element Method for Unsteady Incompressible Viscous Flow Problems : 1st Report, A Stable Method at High Reynolds Numbers : Series B : Fluid Engineering, Heat Transfer, Combustion, Power, Thermophysical Properties
- A Numerical Method for Compressible Viscous Flow with a Multi Grid Algorithm
- Theoretical Study on Equation of Motion and Yield Stress of Electrorheological Fluid
- Fundamental Nonlinear Theory for Micropolar Electrically Conducting Fluids : Conservation Law, Nonequilibrium Thermodynamics, Peltier Effect
- Power Expended Theorem for Micropolar Conducting Magnetic Fluids
- New Hybrid-Streamline-Upwind Finite-Element Method for a Dual Space : Verification for Two-Dimensional Advection-Diffusion Equation
- Electromagnetic Interaction on Micropolar Fluids
- Micropolar Theory for Viscoelastic Magnetic Fluids
- Flow of the Entrance Region in a Porous Pipe : 2nd Report, Uniform Inlet Velocity Profile
- Thermodynamic Discussions for Constitutive Equations of Magnetic Fluids with Viscoelastic Effect : Polar Fluid Theory
- Determination of Constitutive Equations for Magnetic Fluids Using the Theory of Integrity Bases and the Principle of Maximal Dissipation Rate
- A NEW COMPLETE SET OF BASIC EQUATIONS FOR MAGNETIC FLUIDS WITH INTERNAL ROTATION : DERIVATION BY THERMODYNAMICAL METHOD
- Analysis of the Hydraulic Transient in a Pipe Equipped with an Air-chamber
- Thermodynamical Discussions on the Basic Equations of Conducting Magnetic Fluids : Nonrelativistic and Nonpolar Theory
- NEW CONSTITUTIVE EQUATIONS FOR CONDUCTING MAGNETIC FLUIDS WITH INTERNAL ROTATION : THERMODYNAMICAL DISCUSSIONS
- Distorted Pressure Histories due to the Step Responses in a Linear Tapered Pipe : 4th Report : Experimental Investigations