scholarly journals ACCURATE MODELLING OP TWO-DIMENSIONAL MASS TRANSPORT

1984 ◽  
Vol 1 (19) ◽  
pp. 163
Author(s):  
Lance Bode ◽  
Rodney J. Sobey
Keyword(s):  
Exact Solution ◽  
Coordinate System ◽  
Numerical Solution ◽  
Transport Equation ◽  
Spatial Dimension ◽  
Convective Transport ◽  
Numerical Dispersion ◽  
Two Dimensional ◽  
Numerical Errors ◽  
Moving Coordinate

Any numerical solution of the convective transport equation in an Eulerian framework will exhibit inherent numerical dispersion and solution oscillations. The magnitude of such numerical errors is often so severe as to destroy the value of many computed solutions. A successful and economical algorithm for the convective transport equation in one spatial dimension has been published recently by one of the authors (RJS), in which an exact solution is achieved by means of a moving coordinate system. The present study describes the extension of this work to the more important and challenging two-dimensional case.

Numerical Solution to a Two-Dimensional Conduction Problem Using Rectangular and Cylindrical Body-Fitted Coordinate Systems

1981 ◽  
Vol 103 (4) ◽  
pp. 753-758 ◽  
Author(s):  
A. Goldman ◽  
Y. C. Kao
Keyword(s):  
Temperature Distribution ◽  
Coordinate System ◽  
Numerical Solution ◽  
Rectangular Plate ◽  
Three Dimensional ◽  
Cylindrical Body ◽  
Two Dimensional ◽  
Coordinate Systems

The temperature distribution in a rectangular plate with a circular void at the center was calculated using a body-fitted coordinate system. Three different transformed geometries were considered: rectangular-rectangular, cut-line, and cylindrical. Problems involving insulated outer surfaces could not be solved using the rectangular-rectangular transformation but could be solved with both the cut-line and cylindrical transformations. The cylindrical transformation also appears to have the capability of being extended to three-dimensional problems.

MAG - two-dimensional resistive MHD code using an arbitrary moving coordinate system

1997 ◽  
Vol 106 (1-2) ◽  
pp. 76-94 ◽  
Author(s):  
Oleg V Diyankov ◽  
Igor V Glazyrin ◽  
Serge V Koshelev
Keyword(s):  
Coordinate System ◽  
Two Dimensional ◽  
Moving Coordinate

SOLUTION OF TWO‐DIMENSIONAL MULTI‐INTERFACE STEFAN PROBLEM BY THE METHOD OF DYNAMIC ADAPTATION

2001 ◽  
Vol 6 (1) ◽  
pp. 129-137
Author(s):  
V. I. Mazhukin ◽  
M. M. Chuiko
Keyword(s):  
Coordinate System ◽  
Numerical Solution ◽  
Stefan Problem ◽  
Dynamic Adaptation ◽  
Arbitrary Form ◽  
Two Dimensional ◽  
System Transformation ◽  
Energy Fluxes ◽  
Stationary Coordinate System

In the present work a method of numerical solution of multi‐interface two-dimensional Stefan problem with explicit tracking of the interfaces in the domains of arbitrary form is considered. The method is based on the idea of dynamic adaptation of the calculated grid by means of transition to an arbitrary non-stationary coordinate system. The coordinate system transformation is controlled by the solution. The method is described by using the example of the problem that is typical for treatment of materials with concentrated energy fluxes.

Simulation of Flow in a Rectangular Meandering Channel

2011 ◽  
Vol 130-134 ◽  
pp. 2688-2691
Author(s):  
K. Ma ◽  
W.L. Wei
Keyword(s):  
Experimental Data ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Coordinate System ◽  
Numerical Solution ◽  
Satisfactory Agreement ◽  
Two Dimensional ◽  
Complicated Shape ◽  
Partial Differential ◽  
Meandering Channel

This paper is concerned with the numerical solution of two-dimensional flows in a rectangular meandering channel. The technique of boundary-fitted coordinate system is used to overcome the difficulties resulting from the complicated shape of natural river boundaries; the method of physical fractional steps is used to solve the partial differential equations in the transformed plane. Comparison between computed and experimental data shows a satisfactory agreement.

Full Beam Formulation for Coupled Elastic and Rigid Body Motion

1991 ◽  
Author(s):  
C. Venkatakrishnan ◽  
B. Fallahi ◽  
H. Y. Lai
Keyword(s):  
Finite Element ◽  
Rigid Body ◽  
Coordinate System ◽  
Numerical Solution ◽  
Body Motion ◽  
Finite Element Formulation ◽  
Rotary Inertia ◽  
Element Formulation ◽  
Rotating Beam ◽  
Moving Coordinate

Abstract The need for higher operating speeds has led to the study of flexibility in mechanisms. In most of the previous works, rotary inertia, normal, tangential and coriolis terms are neglected. These assumptions are valid at lower speeds and for slender links. In this paper, a procedure to include all inertia terms in a local moving coordinate system is introduced. It is shown that the inertia terms lead to the introduction of three element matrices in the finite element formulation. The proposed approach is used to model the rotating beam problem. The results of a numerical solution is reported and validated.

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