Computer simulation using particles
Computer simulation using particles
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response
Journal of Computational Physics
Simulating free surface flows with SPH
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
SIAM Journal on Numerical Analysis
Conduction modelling using smoothed particle hydrodynamics
Journal of Computational Physics
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics for the simulation of laminar chemically reactive flows
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics simulation of the mechanical behavior of human organs
Technology and Health Care
Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows
Journal of Scientific Computing
Computing a null divergence velocity field using smoothed particle hydrodynamics
Journal of Computational Physics
Modeling of two-phase flows with surface tension by finite pointset method (FPM)
Journal of Computational and Applied Mathematics
An improved SPH method: Towards higher order convergence
Journal of Computational Physics
Incompressible smoothed particle hydrodynamics
Journal of Computational Physics
An incompressible multi-phase SPH method
Journal of Computational Physics
Improved SPH methods for simulating free surface flows of viscous fluids
Applied Numerical Mathematics
Journal of Computational Physics
Maximum-entropy meshfree method for incompressible media problems
Finite Elements in Analysis and Design
Towards oscillation-free implementation of the immersed boundary method with spectral-like methods
Journal of Computational Physics
Hi-index | 31.46 |
In this paper we present a regularized Lagrangian finite point method (RLFPM) for the numerical simulation of incompressible viscous flows. A Lagrangian finite point scheme is applied to the projection method for the incompressible Navier-Stokes equations. The approximation of spatial derivatives is obtained by the weighted least squares method. The pressure Poisson equation with Neumann boundary condition is solved by a stabilized finite point method. A key aspect of the present approach is the periodic redistribution of the particle locations, which are being distorted by the flow. Again, weighted least squares approximation is implemented to interpolate the properties of the old particles onto the new particle locations. With the proposed regularization technique, problems associated with the flow-induced irregularity of particle distribution in the Lagrangian finite point scheme are circumvented. Three numerical examples, Taylor-Green flow, lid-driven flow in a cavity and flow through a periodic lattice of cylinders, are presented to validate the proposed methodology. The problem of extra diffusion caused by regularization is discussed. The results demonstrate that RLFPM is able to perform accurate and stable simulations of incompressible viscous flows.