Dispersion analysis of SPH for parabolic equations: high-order kernels against tensile instability

Incompressible viscous fluids (76D99) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

Smoothed particle hydrodynamics and magnetohydrodynamics
Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives
Mesoscale SPH modeling of fluid flow in isotropic porous media
High-order compact ADI methods for parabolic equations
Adaptive kernel estimation and SPH tensile instability
Extrapolating B splines for interpolation
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von Neumann stability analysis of smoothed particle hydrodynamics -- suggestions for optimal algorithms
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SPH without a tensile stability
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High-order consistent SPH with the pressure projection method in 2-D and 3-D
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Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation
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A kernel derivative free SPH method
Dispersive and Dissipative Behavior of the Spectral Element Method
Truncation error in mesh-free particle methods
Group Velocity in Finite Difference Schemes
Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory
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Accuracy of SPH viscous flow models
Theory and Applications of Smoothed Particle Hydrodynamics
Dispersion analysis of SPH as a way to understand its order of approximation
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Adaptive moving window technique for SPH simulation of stationary shock waves
Global spectral analysis: review of numerical methods

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