• Corpus ID: 235294135

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

  title={A corrected transport-velocity formulation for fluid and structural mechanics with SPH},
  author={Dinesh Adepu and Prabhu Ramachandran},
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… 
Parallel adaptive weakly-compressible SPH for complex moving geometries
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
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.
How to train your solver: A method of manufactured solutions for weakly-compressible SPH
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.


A generalized transport-velocity formulation for smoothed particle hydrodynamics
The results of extensive numerical tests indicate that the new method provides a unified approach for multi-physics SPH simulations and is suitable for fluid and solid materials with and without free surfaces.
An SPH Projection Method
A new formulation is introduced for enforcing incompressibility in Smoothed Particle Hydrodynamics (SPH). The method uses a fractional step with the velocity field integrated forward in time without
SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms
A specific transport velocity is introduced and its inclusion within an Arbitrary Lagrangian Eulerian (ALE) formalism is described, which avoids the formation of these anisotropic structures while a full consistency with the original Euler or Navier-Stokes equations is maintained.
Free-surface flows solved by means of SPH schemes with numerical diffusive terms
A novel system of equations has been defined which contains diffusive terms in both the continuity and energy equations and, at the leading order, coincides with a standard weakly-compressible SPH scheme with artificial viscosity, showing to be robust, efficient and accurate.
A transport-velocity formulation for smoothed particle hydrodynamics
A new algorithm is proposed that combines the homogenization of the particle configuration by a background pressure while at the same time reduces artificial numerical dissipation in weakly-compressible SPH method.
Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves
The algorithm is based upon Fick's law of diffusion and shifts particles in a manner that prevents highly anisotropic distributions and the onset of numerical instability, and is validated against analytical solutions for an internal flow at higher Reynolds numbers than previously.
SPH elastic dynamics
The standard smoothed particle hydrodynamics (SPH) formulation of fluid dynamics can exhibit an instability called the tensile instability. This instability may occur with both positive and negative
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Abstract The present work is dedicated to the improvement of the δ -SPH scheme. This is an enhanced weakly-compressible SPH model widely used in recent years thanks to its benefits to the standard
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A new formulation of the boundary condition at static and moving solid walls in SPH simulations based on a local force balance between wall and fluid particles and applies a pressure boundary condition on the solid particles to prevent wall penetration.
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The classical SPH method appears to be robust and suitable for accurate modelling of elastic solids under compression and the effect of numerical parameters on elastic solutions using a generic uniaxial stress test.