AARMSCMS Student Poster Session
Org:
Muhammad Ali Khan (Calgary)
[
PDF]
 SAYER ALHARBI, University of New Brunswick
FourthOrderAccurate Finite Difference Scheme with Nonuniform Grid in von Mises Coordinates [PDF]

In this work, we develop and test a standard, fivepoint, fourthorderaccurate forward finite difference scheme for the boundary vorticity using uniform and nonuniform grids. The scheme is suitable for use when coordinate transformation is employed, and is tested in the computation of corner vorticity in the case of viscous fluid flow through a twodimensional curvilinear channel that has been mapped onto a rectangular computational domain using von Mises coordinates.
 SALEH ALZAHRANI, University of New Brunswick ( Saint John )
MATHEMATICAL MODELLING OF DUSTY GAS FLOW THROUGH ISOTROPIC POROUS MEDIA WITH FORCHHEIMER EFFECTS [PDF]

In this work, dusty gas flow through isotropic porous media is considered. The equations governing dusty gas flow through free space are intrinsically averaged in order to derive a comprehensive model that describes flow of a dusty gas through porous media. The developed model has features that distinguish it from other models available in the literature. These include its capability of describing the more general timedependent flow of a nonuniform number density mixture through a variable porosity medium, while taking into account the porous microstructure and both the Darcy resistance and the Forchheimer microinertial effects.
 CHRISTOPHER VAN BOMMEL, University of Victoria
Mutually Orthogonal Latin Squares with Large Holes [PDF]

Euler's 36 Officers Problem looks for orthogonal Latin squares of order 6. Such squares do not exist; however, a pair of incomplete orthogonal Latin squares of order 6 does exist. Such squares result if we allow a common $2 \times 2$ empty subarray of each square. We then avoid using a common two symbols in any row or column with an empty cell and make a natural extension to orthogonality. In general, this definition of incomplete mutually orthogonal Latin squares further extends to any order $v$, any hole size $n$, and any number of squares $t$, denoted $t \mathit{} IMOLS(v; n)$. It is a straightforward observation that $v \ge (t + 1) n$ in order for such an object to exist. While such sets of squares have been previously explored for small values of $t$, we demonstrate an asymptotic result for the existence of $t \mathit{} IMOLS(v; n)$ for general $t$ requiring large holes, which we develop from our results on incomplete pairwise balanced designs.
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