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Cambridge University Press Basic Control Volume Finite Element Methods For Fluids And Solids by Vaughan R Voller
Basic Control Volume Finite Element Methods Forfluids And Solids The Control Volume Finite Element Method (Cvfem) Is Ahybridnumerical Method Combining The Physics Intuition Of Controlvolumemethods With The Geometric Flexibility Of Finite Elementmethods.The Concept Of This Monograph Is To Introduce A Commonframeworkfor The Cvfem Solution So That It Can Be Applied To Bothfluid Flowand Solid Mechanics Problems. To Emphasize Theessentialingredients Discussion Focusses On The Application Toproblems Intwo-Dimensional Domains Which Are Discretizedwithlinear-Triangular Meshes. This Allows For Astraightforwardprovision Of The Key Information Required To Fullyconstructworking Cvfem Solutions Of Basic Fluid Flow And Solidmechanicsproblems Contents Preface 1. Introduction 2. Governing Equations 3. The Essential Ingredients In A Numerical Solution 4. Control Volume Finite Element Data Structure 5. Control Volume Finite Element Method (Cvfem)Discretizationand Solution 6. The Control Volume Finite Difference Method 7. Analytical And Cvfem Solutions Of Advection-Diffusionequations 8. A Plane Stress Cvfem Solution 9. Cvfem Stream Function- Vorticity Solution For A Liddrivencavity Flow 10. Notes Toward The Development Of A 3-D Cvfem Code Appendix A: A Meshing Code Appendix B: A Cvfem Code Bibliography Index
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