DEVELOPMENT AND VERIFICATION OF FINITE DIFFERENCE METHOD BASED ON COLLOCATED GRID IN GENERALIZED COORDINATE SYSTEM FOR DIRECT AND LARGE EDDY SIMULATIONS

2001 ◽  
Vol 45 ◽  
pp. 565-570
Author(s):  
Satoshi YOKOJIMA ◽  
Akihiko NAKAYAMA
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Coordinate System ◽  
Difference Method ◽  
Large Eddy Simulations ◽  
Large Eddy ◽  
Collocated Grid ◽  
Generalized Coordinate

Validation of a Three-Dimensional Large Eddy Simulation Finite Difference Method to Study Vortex Induced Vibration

2006 ◽  
Author(s):  
Paulo T. Esperanc¸a ◽  
Juan B. V. Wanderley ◽  
Carlos Levi
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Large Eddy Simulation ◽  
Difference Method ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Vortex Induced Vibration ◽  
Eddy Simulation ◽  
Large Eddy

Two-dimensional numerical simulations of Vortex Induced Vibration have been failing to duplicate accurately the corresponding experimental data. One possible explanation could be 3D effects present in the real problem that are not modeled in two-dimensional simulations. A three-dimensional finite difference method was implemented using Large Eddy Simulation (LES) technique and Message Passage Interface (MPI) and can be run in a cluster with an arbitrary number of computers. The good agreement with other numerical and experimental data obtained from the literature shows the good quality of the implemented code.

scholarly journals Modelling and simulation of heat conduction in 1-D polar spherical coordinates using control volume-based finite difference method

2016 ◽  
Vol 26 (1) ◽  
pp. 2-17 ◽  
Author(s):  
Attila Diószegi ◽  
Éva Diószegi ◽  
Judit Tóth ◽  
József Tamás Svidró
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Coordinate System ◽  
Heat Transport ◽  
Difference Method ◽  
Control Volume ◽  
Polar Coordinate System ◽  
Heat Absorption ◽  
Content Type ◽  
Polar Coordinate

Purpose – The purpose of this paper is to obtain a finite difference method (FDM) solution using control volume for heat transport by conduction and the heat absorption by the enthalpy model in the sand mixture used in casting manufacturing processes. A mixture of sand and different chemicals (binders) is used as moulding materials in the casting processes. The presence of various compounds in the system improve the complexity of the heat transport due to the heat absorption as the binders are decomposing and transformed into gaseous products due to significant heat shock. Design/methodology/approach – The geometrical domain were defined in a 1D polar coordinate system and adapted for numerical simulation according to the control volume-based FDM. The simulation results were validated by comparison to the temperature measurements under laboratory conditions as the sand mould mixture was heated by interacting with a liquid alloy. Findings – Results of validation and simulation methods were about high correspondence, the numerical method presented in this paper is accurate and has significant potential in the simulation of casting processes. Originality/value – Both numerical solution (definition of geometrical domain in 1D polar coordinate system) and verification method presented in this paper are state-of-the-art in their kinds and present high scientific value especially regarding to the topic of numerical modelling of heat flow and foundry technology.

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