|Table of Contents|

 Roozbeh PANAHI and Mehdi SHFIEEFAR*.A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems[J].Journal of Marine Science and Application,2009,(4):281-290.
Click and Copy

A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems


A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems
Roozbeh PANAHI and Mehdi SHFIEEFAR*
Roozbeh PANAHI and Mehdi SHFIEEFAR*
Civil Engineering Department, Tarbiat Modares University, Tehran 14155-4838, Iran
interfacial flow fluid-structure interaction wave tank
A finite volume algorithm was established in order to investigate two-dimensional hydrodynamic problems. These include viscous free surface flow interaction with free rigid bodies in the case of large and/or relative motions. Two-phase flow with complex deformations at the interface was simulated using a fractional step-volume of fluid algorithm. In addition, body motions were captured by an overlapping mesh system. Here, flow variables are transferred using a simple fully implicit non-conservative interpolation scheme which maintains the second-order accuracy of implemented spatial discretisation. Code was developed and an appropriate set of problems investigated. Results show good potential for development of a virtual hydrodynamics laboratory.


[1] FERZIGER J, PERIC M. Computational methods for fluid dynamics[M]. 3rd Rev. Ed., Berlin: Springer-Verlag, 2002.
[2] UBBINK O, ISSA R I. A method for capturing sharp fluid interfaces on arbitrary meshes[J]. Journal of Computational Physics, 1999, 153(1):26-50.
[3] PANAHI R, JAHANBAKHSH E, SEIF M S. Development of a VoF fractional step solver for floating body motion simulation[J]. Applied Ocean Research, 2006, 28(3):171-181.
[4] CHENTANEZ N, GOKTEKIN T G, FELDMAN B E, O’BRIEN J F. Simultaneous coupling of fluids and deformable bodies[C]//CANI M P and O’BRIEN J F. ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Vienna, Austria, 2006: 83-89.
[5] TREMEL U, SORENSEN K A, HITZEL S, RIGER H, HASSAN O. WEATHERILL N P. Parallel remeshing of unstructured volume grids for CFD applications[J]. International Journal for Numerical Methods in Fluids, 2007, 53(8):1361-1379.
[6] BLADES E, MARCUM D L. A sliding interface method for unsteady unstructured flow simulations[J]. International Journal for Numerical Methods in Fluids, 2007, 53:507-529.
[7] CARRICA P M, WILSON R V, NOACK R W, STERN F. Ship motions using single-phase level set with dynamic overset grids[J]. Computers & Fluids, 2007, 36(9):1415-1433.
[8] MITTAL M, IACCARINO G. Immersed boundary methods[J]. Annual Review of Fluid Mechanics, 2005, 37:239-261.
[9] JAHANBAKHCH E, PANAHI R, SEIF M S. Numerical simulation of three-dimensional interfacial flows[J]. International Journal of Numerical Methods for Heat & Fluid Flow, 2007, 17(4):384-404.
[10] JASAK H. Error analysis and estimation for finite volume method with application to fluid flows[D]. London: University of London, 1996.
[11] RHIE CM, CHOW WL. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation [J]. AIAA Journal, 1983, 21:1525-1532.
[12] KIM D, CHOI H. A second-order time-accurate finite volume method for unsteady incompressible flow on hybrid unstructured grids[J]. Journal of Computational Physics, 2000, 162(2):411-428.
[13] TOGASHI F, NAKAHASHI K, ITO Y, IWAMIYATA T, SHIMBO Y. Flow simulation of NAL experimental supersonic airplane/booster separation using overset unstructured grids[J]. Computers and Fluids, 2001, 30(6):673-688.
[14] HADZIC H. Development and application of a finite volume method for the computation of flows around moving bodies on unstructured, overlapping grids[D]. Hamburg: Teschniche Universitat Hamburg-Harburg, 2005.
[15] ATTA E H. Component adaptive grid interfacing[J]. AIAA Paper, 1981, 81-0382.
[16] BUNING P G, WONG T C, DILLEY A D, PAO J L. Prediction of hyper-x stage separation aerodynamics using CFD[J]. AIAA Paper, 2000, 2000-4009.
[17] CHEN, H C, LIN W M, HWANG W Y. Validation and application of chimera RANS method for ship-ship interactions in shallow water and restricted waterway[C]// PURTELL L P. 24th ONR Symposium on Naval Hydrodynamics. Michigan: National Academy Press, 2003.
[18] NAKAHASHI K, TOGASHI F, SHAROV D. An intergrid-boundary definition method for overset unstructured grid approach[J]. AIAA Journal, 2000, 38(11):2077-2084.
[19] MEAKIN R L. Object X-rays cutting holes in composite overset structured grids[J]. AIAA Paper, 2001, 2001-2537.
[20] SUHS N E, ROGERS S E, DIETZ W E. PEGASUS: An Automated pre-processor for overset grid CFD[J]. AIAA Paper, 2002, 2002-3186.
[21] LÖHNER R. Robust, vectorized search algorithms for interpolation on unstructured grids[J]. Journal of Computational Physics, 1995, 118(2):380-387.
[22] DRAKAKIS D, MAJEWSKI J, ROKICHKI J, ZOLTAK J. Investigation of blendingfunction-based overlapping-grid technique for compressible flows[J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190:5173-5195.
[23] PANAHI R, JAHANBAKHSH E, SEIF M S. Numerical investigation on the effect of baffle arrangement in tanker sloshing[C]//DELHOMMEAU G and VISONNEAU M. 9th Numerical Towing Tank Symposium (NuTTs), Nantes: Ecole Centrale de Nantes, 2006.
[24] JAHANBAKHSH E, PANAHI R, SEIF M S. Catamaran motion simulation based On moving grid technique[J]. Journal of Marine Science and Technology, 2009, 17(2): 128-136.
[25] SCHÄFER M, TUREK S. Benchmark computations of laminar flow around a cylinder[J]. Notes on Numerical Fluid Mechanics, 1996, 52:547-566.
[26] TANIZAWA K, CLÉMENT A H. Report of the 2nd workshop of ISOPE numerical wave tank group: benchmark test cases of radiation problem[C]// CHUNG J S, FREDERKING R M W, SAEKI H and KOTERAYAMA W. 10th International Offshore and Polar Engineering Conference [C], Cupertino: ISOPE, 2000.
[27] PARK J C, MIYATA H. Numerical simulation of fully-nonlinear wave motions around arctic and offshore structures[J]. Journal of the Society of Naval Architects of Japan, 2001, 189:13-20.
[28] GREENHOW M, LIN W. Nonlinear free surface effects: experiments and theory[R]. Report No. 83-19, Cambridge: Massachusetts Institute of Technology, Department of Ocean Engineering, 1983.
[29] XING-KAEDING Y. Unified approach to ship seakeeping and maneuvering by a RANSE method[D]. Hamburg: Teschnichen Universitat Hamburg-Harburg, 2004.


Last Update: 2010-05-03