𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A particle–particle hybrid method for kinetic and continuum equations

✍ Scribed by Sudarshan Tiwari; Axel Klar; Steffen Hardt

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
480 KB
Volume
228
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

We present a coupling procedure for two different types of particle methods for the Boltzmann and the Navier-Stokes equations. A variant of the DSMC method is applied to simulate the Boltzmann equation, whereas a meshfree Lagrangian particle method, similar to the SPH method, is used for simulations of the Navier-Stokes equations. An automatic domain decomposition approach is used with the help of a continuum breakdown criterion. We apply adaptive spatial and time meshes. The classical Sod's 1D shock tube problem is solved for a large range of Knudsen numbers. Results from Boltzmann, Navier-Stokes and hybrid solvers are compared. The CPU time for the hybrid solver is 3-4 times faster than for the Boltzmann solver.

📜 SIMILAR VOLUMES

A particle method for some parabolic equ
A particle method for some parabolic equations
✍ Christian Lécot; Ibrahim Coulibaly 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 846 KB

We present a quasi-Monte-Carlo parhcle simulation of some multl&menmonal hnear parabohc equations with constant coefficients We approximate the elliptic operator m space by a fimte-dlfference operator We &scretlze time into intervals of length At The discrete representation of the solution at hme t~

A particle–gridless hybrid method for in
A particle–gridless hybrid method for incompressible flows
✍ Han Young Yoon; Seiichi Koshizuka; Yoshiaki Oka 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 499 KB 👁 1 views

A particle-gridless hybrid method for the analysis of incompressible flows is presented. The numerical scheme consists of Lagrangian and Eulerian phases as in an arbitrary Lagrangian -Eulerian (ALE) method, where a new-time physical property at an arbitrary position is determined by introducing an a

A Consistent Hybrid Finite-Volume/Partic
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows
✍ Metin Muradoglu; Patrick Jenny; Stephen B. Pope; David A. Caughey 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 212 KB

The paper describes a new hybrid finite-volume (FV)/particle method developed for the solution of the PDF equations for statistically stationary turbulent reactive flows. In this approach, the conservation equations for mean mass, momentum, and energy conservation are solved by a FV method while a p

A hybrid particle-finite element method
A hybrid particle-finite element method for hypervelocity impact simulation
✍ Eric P. Fahrenthold; Blaise A. Horban 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 613 KB

Coupled particle-finite element methods have been suggested as an approach to modeling particular impact problems not well suited to simulation with conventional Eulerian, Lagrangian, or particle codes. An alternative hybrid particle-finite element technique has been developed, in which particles ar

Numerical Study of a Stochastic Weighted
Numerical Study of a Stochastic Weighted Particle Method for a Model Kinetic Equation
✍ Sergej Rjasanow; Wolfgang Wagner 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 351 KB

particle density. This problem can hardly be solved efficiently by direct simulation methods in such cases, where A stochastic weighted particle method is applied to a model nonlinear kinetic equation. A detailed study of various numerical ap-the changes of the particle density are of several orders