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The Cell Method for Electrical Engineering and Multiphysics Problems : an Introduction.
This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method. The technique lends itself naturally to the solution of multiphysics problems with several interacting phenomena. The Cell Method, based on a space-time tessellation,...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer,
2013.
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| Colección: | Lecture notes in electrical engineering.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Title Page; Preface; Contents; Tonti Diagrams; Classification of the Physical Variables; Local and Global Variables; Cell Complexes; Variables and Orientation; A Note on Time; Tonti Diagrams; References; Topological Equations; The Numerical Scheme; Cell Complexes; Basic Definitions of Algebraic Topology and Cell Complexes; Coboundary Process; Topological Equations; Incidence Numbers and Incidence Matrices; The Cell Method for Stationary Heat Conduction; A Note for Practitioners; Links with Other Numerical Methods; References; Constitutive Equations; Introduction.
- Example of a Constitutive Equation for a Simple ProblemConstitutive Equations for Orthogonal Grids; Case 1; Case 2; Constitutive Matrix Set-Up; Constitutive Equations on Tetrahedral Grids; Uniform Field; Non-uniform Field; Whitney Interpolation; Thermal Mass Matrix; Boundary Conditions; References; Classical Physical Problems; Electrostatics and Electric Current Flow; Magnetostatics; Sources of the Magnetostatic Field; TEAM Problem 20; Force Computation; Elastostatics; Elastostatics Definition; Finite Formulation of Elastostatics; Application of Elastostatic Formulation; Thermal Transient.
- ElastodynamicsEigenmode Analysis; References; Multiphysics Problems; Coupled Problems; Electro-thermo-mechanical Coupling; Electro-thermal Coupling Term; Thermo-mechanical Coupling Term; Complete System of Equations; Example: MEMS Microbeam; Induction Heating; Eddy Current Numerical Formulation; Unstationary Thermal Problem; Test Case: Heating Inductor; Thermo-mechanical Coupling; Thermal Model; Structural Model; References; Implementation; Development Environment; Anatomy of the Code; Phase 1: Data Structures; Phase 2: Material Properties; Phase 3: Constitutive and Stiffness Matrices.
- Phase 4: SourcesPhase 5: Boundary Conditions; Phase 6: Solution; 6.9 Phase 7: Plotting Maps; Example; Discussion; References.