✦ LIBER ✦

A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity

✍ Scribed by B.T Helenbrook; L Martinelli; C.K Law

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 223 KB
Volume: 148
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.6115

No coin nor oath required. For personal study only.

✦ Synopsis

A numerical method for solving problems in which a moving surface of discontinuity separates regions of incompressible flow is presented. The method developed is notable in that it does not introduce any artificial smoothing of the change in fluid properties across the surface of discontinuity. This results in an increase in accuracy relative to methods which introduce smoothing effects. The method was also shown to be fairly versatile; problems describing a free surface, an immiscible fluid interface, and a premixed flame discontinuity were solved. There is a limitation, however, in that the method appears to be most suitable for application to inviscid problems. The reason for this limitation and possible approaches toward resolving it are discussed.

📜 SIMILAR VOLUMES

A Numerical Method for Solving Incompres

A Numerical Method for Solving Incompressible Viscous Flow Problems

✍ Alexandre Joel Chorin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 286 KB

where R ϭ UD/v is the Reynolds number. Our purpose is to present a finite difference method for solving (1a)-A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the (1b) in a domain D in two or three space dimensions, with pressure a

Introduction to “A Numerical Method for

Introduction to “A Numerical Method for Solving Incompressible Viscous Flow Problems”

✍ Gerry Puckett 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 162 KB

A MLPG(LBIE) numerical method for solvin

A MLPG(LBIE) numerical method for solving 2D incompressible and nearly incompressible elastostatic problems

✍ Vavourakis, V. ;Polyzos, D. 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB 👁 1 views

## Abstract A new meshless local Petrov–Galerkin (MLPG) method, based on local boundary integral equation (LBIE) considerations, is proposed here for the solution of 2D, incompressible and nearly incompressible elastostatic problems. The method utilizes, for its meshless implementation, nodal point

A numerical method for simulating discon

A numerical method for simulating discontinuous shallow flow over an infiltrating surface

✍ Fritz R. Fiedler; Jorge A. Ramirez 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 357 KB 👁 3 views

A numerical method based on the MacCormack finite difference scheme is presented. The method was developed for simulating two-dimensional overland flow with spatially variable infiltration and microtopography using the hydrodynamic flow equations. The basic MacCormack scheme is enhanced by using the

An implicit numerical algorithm for solv

An implicit numerical algorithm for solving non-hydrostatic free-surface flow problems

✍ M. M. Namin; B. Lin; R. A. Falconer 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB 👁 2 views

A High-Order Discontinuous Galerkin Meth

A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

✍ Jian-Guo Liu; Chi-Wang Shu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 374 KB

In this paper we introduce a high-order discontinuous Galerkin method for twodimensional incompressible flow in the vorticity stream-function formulation. The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method. The stream function is obtained by a