# A corrected transport-velocity formulation for fluid and structural mechanics with SPH

@inproceedings{Adepu2021ACT, title={A corrected transport-velocity formulation for fluid and structural mechanics with SPH}, author={Dinesh Adepu and Prabhu Ramachandran}, year={2021} }

Particle shifting techniques (PST) have been used to improve the accuracy of the Smoothed Particle Hydrodynamics (SPH) method. Shifting ensures that the particles are distributed homogeneously in space. This may be performed by moving the particles using a transport velocity. In this paper we propose an extension to the class of Transport Velocity Formulation (TVF) methods. We derive the equations in a consistent manner and show that there are additional terms that significantly improve the…

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## 4 Citations

Parallel adaptive weakly-compressible SPH for complex moving geometries

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The use of adaptive spatial resolution to simulate flows of practical interest using Smoothed Particle Hydrodynamics (SPH) is of considerable importance. Recently, Muta and Ramachandran [1] have…

Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH

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An accurate, and computationally efficient method for incorporating adaptive spatial resolution into weakly-compressible Smoothed Particle Hydrodynamics (SPH) schemes, designed to automatically adapt when any solid bodies move.

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This paper introduces the method of manufactured solutions (MMS) to comprehensively test aWCSPH-based solver in a robust and efficient manner and shows how the method can be applied in the context of Lagrangian WCSPH solvers to test the convergence and accuracy of the solver.

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