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An unstructured finite volume method for Impact Dynamics of a Thin Plate

Journal of Marine Science and Application 2012年第4期11卷 478-485页

作者： Weidong Chen Yanchun Yu Department of Space and Architectural Engineering Harbin Engineering UniversityHarbin 150001China

The examination of an unstructured finite volume method for structural dynamics is assessed for simulations of systematic impact dynamics. A robust display dual-time stepping method is utilized to obtain time accurate solutions. The study of impact dynamics is a complex problem that should consider strength models and state equations to describe the mechanical behavior of materials. The current method has several features, l） Discrete equations of unstructured finite volume method naturally follow the conservation law. 2） Display dual-time stepping method is suitable for the analysis of impact dynamic problems of time accurate solutions. 3） The method did not produce grid distortion when large deformation appeared. The method is validated by the problem of impact dynamics of an elastic plate with initial conditions and material properties. The results validate the finite element numerical data

关键词： unstructured finite volume method structural impact dynamics large deformation strength models state equations

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A Preconditioned Implicit Free-Surface Capture Scheme for Large Density Ratio on Tetrahedral Grids

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Communications in Computational Physics 2012年第1期11卷 215-248页

作者： Xin Lv Qingping Zou D.E.Reeve Yong Zhao International Center for Numerical methods in Engineering(CIMNE)-Singapore 51 Science Park Road#04-20The Aries Singapore Science Park II117586Singapore Department of Civil and Environmental Engineering University of MaineOronoMaine 04469USA Center for Coastal Dynamics and Engineering School of EngineeringUniversity of PlymouthDevon PL48AAUnited Kingdom College of Engineering Alfaisal UniversityAl Maathar RoadP.O.Box 50927Riyadh 11533Kingdom of Saudi Arabia

We present a three dimensional preconditioned implicit free-surface capture scheme on tetrahedral *** current scheme improves our recently reported method[10]in several ***,we modified the original eigensystem by applying a preconditioning matrix so that the new eigensystem is virtually independent of density ratio,which is typically large for practical two-phase ***,we replaced the explicit multi-stage Runge-Kutta method by a fully implicit Euler integration scheme for the Navier-Stokes(NS)solver and the volume of Fluids(VOF)equation is now solved with a second order Crank-Nicolson implicit scheme to reduce the numerical diffusion *** preconditioned restarted GeneralizedMinimal RESidual method(GMRES)is then employed to solve the resulting linear *** validation studies show that with these modifications,the method has improved stability and accuracy when dealing with large density ratio two-phase problems.

关键词： VOF level set free surface unstructured finite volume method implicit method restarted GMRES tetrahedral grid

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