S-SPH extends mesh-free SPH to stochastic problems via polynomial chaos and KL expansions, delivering mean and variance statistics that match Monte Carlo at up to 1000 times lower cost on benchmark advection and Burgers flows.
Particle discontinuous deformation analysis of static and dynamic crack propagation in brittle material.CMES - Computer Modeling in Engineering and Sciences, 139(2):2215–2236
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Stochastic Smoothed Particle Hydrodynamics for Stochastic Mechanics Problems
S-SPH extends mesh-free SPH to stochastic problems via polynomial chaos and KL expansions, delivering mean and variance statistics that match Monte Carlo at up to 1000 times lower cost on benchmark advection and Burgers flows.