Robert J Wood

• Lecturer at Charles Sturt University

A study of the behaviour of flow past a square cylinder for Reynolds numbers 10 and 20 is presented. Open source software Navier2d in Matlab is used in this study. The investigation starts from a uniform initial mesh and then refine the initial mesh using a mesh refinement method which was proposed based on both qualitative theory of differential e...

Locating accurate centres of vortices is one of the accuracy measures for computational methods in fluid flow and the lid-driven cavity flows are widely used as benchmarks. This paper analyses the accuracy of an adaptive mesh refinement method using 2D steady incompressible lid-driven cavity flows. The adaptive mesh refinement method performs mesh...

Locating accurate centres of vortices is one of the accurate measures for computational methods in fluid flow and the lid-driven cavity flows are widely used as benchmarks. This paper analyses the accuracy of an adaptive mesh refinement method using 2D steady incompressible lid-driven cavity flows for two refinements. The adaptive mesh refinement m...

This paper investigates the technique of localised mesh refinement to solve the Shallow Water Equations (SWE), by adding nodes only where needed. The discretization process linearizes the nonlinear equations for solving as a linear system. The nonlinear error values at specific nodes are used to indicate which node will have additional nodes added...

Lid-driven cavity flows have been widely investigated and accurate results have been achieved as benchmarks for testing the accuracy of computational methods. This paper verifies the accuracy of an adaptive mesh refinement method numerically using 2-D steady incompressible lid-driven cavity flows and coarser meshes. The accuracy is shown by verifyi...

Lid-driven cavity flows have been widely investigated and accurate results have been achieved as benchmarks for testing the accuracy of computational methods. This pa-per verifies the accuracy of an adaptive mesh refinement method numerically using 2-D steady incompressible lid-driven flows and coarser meshes. The accuracy is shown by verifying tha...

M-matrices are important in the consideration of rates of conver-gence of iterative methods for solving large systems of equations and are applicable in areas such as input-output systems in economic mod-elling, queuing theory, and engineering. The usual definition of an M-matrix has, among other requirements, that it must be non-singular and its i...

An always convergent method is used to calculate the spectral radius of an irreducible non-negative matrix. The method is an adap-tation of a method of Collatz (1942), and has similarities to both the power method and the inverse power method. For large matrices it is faster than the eig routine in Matlab. Special attention is paid to the step-by-s...

The Hawkins-Simon condition is a well-known method used to determine the existence of a unique positive solution of a static Leontief system. A method that is sometimes easier to apply is the spectral radius condition. A derivation of the spectral radius condition is presented, together with a computational method for calculation of the spectral ra...

This paper presents an alternative proof of the Hawkins-Simon condition for the existence of a unique positive solution of a static Leontief input-output system. A practical computational implementation of this condition is presented. Due consideration is given to rounding errors in the computational process, and also to inherent errors in the orig...