Kernel Gradient Free Smoothed Particle Hydrodynamics for Transient Boundary Value Problems

Autor: Siva Prasad Avs, K. C. Charan
Rok vydání: 2020
Předmět:
Zdroj: Recent Advances in Computational Mechanics and Simulations ISBN: 9789811583148
DOI: 10.1007/978-981-15-8315-5_44
Popis: Smoothed Particle Hydrodynamics is one of the oldest meshless methods and has undergone significant improvements in the past three decades. The method originally suffered from a few drawbacks such as tensile instability, particle inconsistency and so on. Several techniques have been proposed by researchers across the globe to overcome these difficulties. The origin of the tension instability is in the second derivative of the smoothing function. A recent formulation called Kernel Gradient Free Smoothed Particle Hydrodynamics (KGF−SPH) avoids the use of any derivatives of the smoothing function for the approximation of spatial gradients. The method is capable of handling particle inconsistency at the boundaries. In this work, a FORTRAN code based on KGF−SPH is developed to demonstrate the performance of the method, applied to \(1-\)D and \(2-\)D heat conduction and elastic wave propagation problems.
Databáze: OpenAIRE