✦ LIBER ✦

An adaptive mesh refinement method for solution of the transported PDF equation

✍ Scribed by D. A. Olivieri; M. Fairweather; S. A. E. G. Falle

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 445 KB
Volume: 79
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.2628

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper presents the results of an investigation into a possible alternative to Monte Carlo methods for solving the transported probability density function (PDF) equation for scalars (compositions). The method uses a finite‐volume approach combined with adaptive mesh refinement (AMR) in a multi‐dimensional compositional space. Comparisons are made between the new method and Monte Carlo solutions for analytical test cases involving the reaction of two or three chemical species. These tests demonstrate the potential of the new method in terms of both accuracy and run time. Additional test cases involving various models for molecular mixing were also conducted with similar conclusions. Copyright © 2009 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Adaptive mesh refinement applied to the

Adaptive mesh refinement applied to the scalar transported PDF equation in a turbulent jet

✍ D. A. Olivieri; M. Fairweather; S. A. E. G. Falle 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 274 KB

An Adaptive Discontinuous Finite Element

An Adaptive Discontinuous Finite Element Method for the Transport Equation

✍ Jens Lang; Artur Walter 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 402 KB

An Adaptive Higher Order Method for Solv

An Adaptive Higher Order Method for Solving the Radiation Transport Equation on Unstructured Grids

✍ A. Dedner; P. Vollmöller 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 412 KB

The Numerical Solution of One-Dimensiona

The Numerical Solution of One-Dimensional Phase Change Problems Using an Adaptive Moving Mesh Method

✍ J.A. Mackenzie; M.L. Robertson 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 292 KB

An adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of heat conduction problems with a phase change. The algorithm is based on a very simple mesh modification strategy that allows the smooth evolution of mesh nodes to track interfaces. At each time step

A Moving Mesh Method for the Solution of

A Moving Mesh Method for the Solution of the One-Dimensional Phase-Field Equations

✍ J.A. Mackenzie; M.L. Robertson 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 194 KB

THE PARALLEL BLOCK ADAPTIVE MULTIGRID ME

THE PARALLEL BLOCK ADAPTIVE MULTIGRID METHOD FOR THE IMPLICIT SOLUTION OF THE EULER EQUATIONS

✍ NIKOS G. PANTELELIS; ANDREAS E. KANARACHOS 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1006 KB

A method capable of solving very fast and robust complex non-linear systems of equations is presented. The block adaptive multigrid @AM) method combines mesh adaptive techniques w i t h multigrid and domain decomposition methods. The overall method is based on the FAS multigrid, but instead of using