Journal of Japan Society of Civil Engineers Ser B2 (Coastal Engineering) · 2010 · 13 citations · 1 references
Natural SciencesComputational EngineeringPhysicsComputational Fluid DynamicsComputational PhysicsFluid DynamicsFlow ModelingNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsAccuracyFree-surface HydrodynamicsGrid ArrangementHydrostatic PressureHydrostatic Pressure DeterminationNonlinear Function ApproximationNumerical Simulation Of Flow And TransportParticle Arrangement
A highly precise numerical calculation method of the gradient as a differential operator in a computational method with the MPS has been proposed in this study. The method is not dependent on the particle arrangement. Gradient calculations of a linear and nonlinear function have been introduced in the proposed method to verify the numerical accuracy. The results show high accuracy on the boundary in regular grid arrangement case but on both the boundary and inside in random arrangement case. High accuracy and computational stability are also obtained when applied to the calculations of the hydrostatic pressure and free surface of water.
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