TOMCAT — A code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two-dimensional bodies

A model for two-dimensional flows over a cylinder at a plane boundary is developed. The model, based upon a (k-ε) turbulence closure, is formulated in a curvilinear coordinate system based upon frictionless flow. A length scale modification in areas of adverse pressure gradient and recirculating flow appears to be more realistic than the standard (k-ε) model. The main features of the predicted flow do not depend critically upon the details of the grid or model, which means that a well defined solution is obtained. The solution appears to be reasonable and validated to the extent that the data permits.

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Induced Current Bio-Impedance Technique for Monitoring Cryosurgery Procedure in a Two-Dimensional Head Model Using Generalized Coordinate Systems

IEEE Transactions on Biomedical Engineering ◽

10.1109/tbme.2005.847524 ◽

2005 ◽

Vol 52 (7) ◽

pp. 1361-1365 ◽

Cited By ~ 1

Author(s):

A. Gergel ◽

S. Zlochiver ◽

M. Rosenfeld ◽

S. Abboud

Keyword(s):

Head Model ◽

Two Dimensional ◽

Induced Current ◽

Coordinate Systems ◽

Impedance Technique ◽

Generalized Coordinate

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The Discretization Method for Convention-diffusion Equations in Two-dimensional Cylindrical Coordinate Systems based on Unstructured Grids

Procedia Computer Science ◽

10.1016/j.procs.2013.05.382 ◽

2013 ◽

Vol 18 ◽

pp. 2117-2126 ◽

Cited By ~ 1

Author(s):

Guojun Yu ◽

Bo Yu ◽

Yu Zhao ◽

Qianqian Shao ◽

Jianyu Xie

Keyword(s):

Unstructured Grids ◽

Diffusion Equations ◽

Discretization Method ◽

Two Dimensional ◽

Coordinate Systems ◽

Cylindrical Coordinate

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Implementation of an Approximate Conformal UPML in 2-D DGTD

International Journal of Antennas and Propagation ◽

10.1155/2017/6358561 ◽

2017 ◽

Vol 2017 ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

Linqian Li ◽

Bing Wei ◽

Qian Yang ◽

Debiao Ge

Keyword(s):

Good Accuracy ◽

Computation Time ◽

Elliptic Cylinder ◽

Auxiliary Equation ◽

Coordinate Systems ◽

Absorbing Boundary ◽

Computational Region ◽

Curvilinear Coordinate ◽

Orthogonal Curvilinear Coordinate System ◽

Absorbing Layer

Using the numerical discrete technique with unstructured grids, conformal perfectly matched layer (PML) absorbing boundary in the discontinuous Galerkin time-domain (DGTD) can be set flexibly so as to save lots of computing resources. Based on the DGTD equations in an orthogonal curvilinear coordinate system, the processes of parameter transformation for 2-D UPML between the coordinate systems of elliptical and Cartesian are given; and the expressions of transition matrix are derived. The calculation scheme of conductivity distribution in elliptic cylinder absorbing layer is given, and the calculation coefficient of DGTD in elliptic UPML is calculated. Furthermore, the 2-D iterative formulas of DGTD and that of auxiliary equation in the elliptical cylinder UPML are derived; the conformal UPML calculation in DGTD is realized. Numerical results show that very good accuracy and computational efficiency are achieved by using the method in this paper. Compared to the rectangular computational region, both the memory and computation time of conformal UPML absorbing boundary are reduced by more than 20%.

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