International Journal for Numerical Methods in Engineering, 1992
Recently, control volume methods have been developed for fluid flow and heat transfer on unstruct... more Recently, control volume methods have been developed for fluid flow and heat transfer on unstructured meshes. This approach has been extended here to implement the enthalpy based solidification algorithm on an unstructured mesh. A range of two-dimensional test problems are solved using triangular and quadrilateral cells (or elements). The accuracy of the CV-UM algorithms compare favourably with the structuredmesh algorithm, though the former algorithms require 1.5-3 times as much CPU as the latter. This overhead is associated with the extra work caused by the unstructuredness of the mesh; the number of sweeps to achieve convergence is roughly comparable for all algorithms. The CV-UM algorithms should perform well on complex geometry problems and, therefore, show potential to be a productive technique in casting solidification analysis.
Mathematical Modelling Courses for Engineering Education, 1994
Increasingly, industrial organisations are embedding mathematical modelling into their operationa... more Increasingly, industrial organisations are embedding mathematical modelling into their operational infrastructure. The major factors in making mathematical modelling an accessible tool for industry are (i) the rapid development of computer technology, (ii) the emergence of powerful user environment software for geometric modelling, meshing and results visualisation, and (iii) the development of computational mechanics algorithms and codes.The paper addresses the importance and limitations of each of the above factors in enabling effective mathematical modelling in an industry context. Finally, a look forward is advanced with respect to what engineers who wish to exploit models will have to know.
The transverse motion of solids moving through rotary kilns is classified into two main categorie... more The transverse motion of solids moving through rotary kilns is classified into two main categories. These categories are characterized by whether or not the frictional forces exerted by the material on the kidln wall are extensive enough for the material to maintain its position (relative to the wall) until its angle of repose is exceeded. On this basis the frequently observed rolling and slumping types of motion are classified together; the former representing the continuous aspect of this mode whilst the latter describes the discrete situation. An equation is derived which shows the degree of filling required to ensure that the material moves in the rolling/slumping mode, as afunction of its angle of repose and coefficient of friction with the wall.
... J-CAMATD 082 Computational issues in the modelling of materials-based manufacturing processes... more ... J-CAMATD 082 Computational issues in the modelling of materials-based manufacturing processes Mark Cross Centre for Numerical Modelling and Process Analysis, ~niversity of Greenwich, London SE18 6PF, UK. Received 10 March 1996 Accepted 17 March 1996 ...
Software tools to aid the generation of parallel implementation from scalar code rely on very acc... more Software tools to aid the generation of parallel implementation from scalar code rely on very accurate dependence analysis. Conventional techniques produce dependence graphs which are unduly conservative and mean that the quality of the subsequent parallel code ...
International Journal for Numerical Methods in Engineering, 1992
Recently, control volume methods have been developed for fluid flow and heat transfer on unstruct... more Recently, control volume methods have been developed for fluid flow and heat transfer on unstructured meshes. This approach has been extended here to implement the enthalpy based solidification algorithm on an unstructured mesh. A range of two-dimensional test problems are solved using triangular and quadrilateral cells (or elements). The accuracy of the CV-UM algorithms compare favourably with the structuredmesh algorithm, though the former algorithms require 1.5-3 times as much CPU as the latter. This overhead is associated with the extra work caused by the unstructuredness of the mesh; the number of sweeps to achieve convergence is roughly comparable for all algorithms. The CV-UM algorithms should perform well on complex geometry problems and, therefore, show potential to be a productive technique in casting solidification analysis.
Mathematical Modelling Courses for Engineering Education, 1994
Increasingly, industrial organisations are embedding mathematical modelling into their operationa... more Increasingly, industrial organisations are embedding mathematical modelling into their operational infrastructure. The major factors in making mathematical modelling an accessible tool for industry are (i) the rapid development of computer technology, (ii) the emergence of powerful user environment software for geometric modelling, meshing and results visualisation, and (iii) the development of computational mechanics algorithms and codes.The paper addresses the importance and limitations of each of the above factors in enabling effective mathematical modelling in an industry context. Finally, a look forward is advanced with respect to what engineers who wish to exploit models will have to know.
The transverse motion of solids moving through rotary kilns is classified into two main categorie... more The transverse motion of solids moving through rotary kilns is classified into two main categories. These categories are characterized by whether or not the frictional forces exerted by the material on the kidln wall are extensive enough for the material to maintain its position (relative to the wall) until its angle of repose is exceeded. On this basis the frequently observed rolling and slumping types of motion are classified together; the former representing the continuous aspect of this mode whilst the latter describes the discrete situation. An equation is derived which shows the degree of filling required to ensure that the material moves in the rolling/slumping mode, as afunction of its angle of repose and coefficient of friction with the wall.
... J-CAMATD 082 Computational issues in the modelling of materials-based manufacturing processes... more ... J-CAMATD 082 Computational issues in the modelling of materials-based manufacturing processes Mark Cross Centre for Numerical Modelling and Process Analysis, ~niversity of Greenwich, London SE18 6PF, UK. Received 10 March 1996 Accepted 17 March 1996 ...
Software tools to aid the generation of parallel implementation from scalar code rely on very acc... more Software tools to aid the generation of parallel implementation from scalar code rely on very accurate dependence analysis. Conventional techniques produce dependence graphs which are unduly conservative and mean that the quality of the subsequent parallel code ...
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