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Journal ArticleDOI

Computation of incompressible potential flow using von Mises coordinates

Ronald M. Barron
- 01 Jul 1989 - 
- Vol. 31, Iss: 3, pp 177-188
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TLDR
In this article, the potential flow over symmetric airfoils has been formulated in terms of von Mises coordinates, and a rectangular computational domain with Dirichlet boundary conditions for the single unknown y (x, ψ) is provided.
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This article is published in Mathematics and Computers in Simulation.The article was published on 1989-07-01. It has received 26 citations till now. The article focuses on the topics: Potential flow & von Mises yield criterion.

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Journal ArticleDOI

Analysis of the Darcy-Lapwood and the Darcy-Lapwood-Brinkman models: significance of the laplacian

TL;DR: In this paper, a numerical solution for fluid flow through a porous medium as governed by the Darcy-Lapwood model is obtained by solving the DLA-Brinkman model for moderate Re, using a numerical approach to the von Mises transformation.
Journal ArticleDOI

Applications of von Mises coordinates in porous media flow

TL;DR: In this paper, the von Mises transformation was used for numerical implementation of the von-Mises transformation in porous media flow using the Darcy model, which eliminates any need to numerically generate a grid system.
Journal ArticleDOI

Axisymmetric potential flow calculations. Part 1: Analysis mode

TL;DR: Using a natural body-fitted coordinate system, based on the streamlines, incompressible potential flow over an arbitrary shape at zero incidence is formulated as a Dirichlet boundary-value problem for the unknown co-ordinate r(x, ψ ) as discussed by the authors.
Journal ArticleDOI

A non‐iterative technique for design of aerofoils in incompressible potential flow

TL;DR: In this paper, a new method is proposed for designing aerofoils in potential flow, based on the von Mises co-ordinate transformation, which has the advantages of eliminating the numerical grid generation process and providing a design method which does not require iteratively adjusting the aerofoil shape.
Journal ArticleDOI

Natural coordinate system approach to coupled n-phase fluid flow in curved domains

TL;DR: A natural coordinate system is introduced to handle the flow of a multiphase fluid in domains possessing curved boundaries and a multiple transformation that is capable of mapping a physical domain onto a computational domain is derived.
References
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Journal ArticleDOI

Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review

TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.
Proceedings ArticleDOI

Advanced panel-type influence coefficient methods applied to subsonic flows

TL;DR: In this paper, an advanced technique for solving the linear integral equations of three-dimensional subsonic potential flows (steady, inviscid, irrotational and incompressible) about arbitrary configurations is presented.
Proceedings ArticleDOI

A method for solving the transonic full-potential equation for general configurations

TL;DR: In this paper, a finite-volume formulation of the mass conservation equation for two-dimensional and axisymmetric flows is presented. But the method is based on a finite volume formulation of a Cartesian coordinate system, and is an extension of the method of Purvis and Burkhalter (1979).
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