The purpose of this book is to introduce a boundary integral method based on domain partition for the solution of nonlinear fluid mechanics problems including non-Newtonian applications. In the present work, the Dual Reciprocity Method has been improved by paritioning the domain into smaller sub-domains, and in each sub-domain the Dual Reciprocity Method was applied to obtain an expression for the velocity field only in terms of boundary integrals. Several numerical examples are presented including Newtonian flow at high Reynolds numbers and non Newtonian flow of polymers inside complex geometry.
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The purpose of this book is to introduce a boundary integral method based on domain partition for the solution of nonlinear fluid mechanics problems including non-Newtonian applications. In the present work, the Dual Reciprocity Method has been improved by paritioning the domain into smaller sub-domains, and in each sub-domain the Dual Reciprocity Method was applied to obtain an expression for the velocity field only in terms of boundary integrals. Several numerical examples are presented including Newtonian flow at high Reynolds numbers and non Newtonian flow of polymers inside complex geometry.
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