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Finite element simulation of heat transfer [[electronic resource] /] / Jean-Michel Bergheau, Roland Fortunier
| Finite element simulation of heat transfer [[electronic resource] /] / Jean-Michel Bergheau, Roland Fortunier |
| Autore | Bergheau Jean-Michel |
| Pubbl/distr/stampa | London, : ISTE Ltd. |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina |
621.402/2015118
621.4022015118 |
| Altri autori (Persone) | FortunierRoland |
| Collana | ISTE |
| Soggetto topico |
Heat - Transmission - Mathematical models
Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-16521-6
9786612165214 0-470-61141-3 0-470-39403-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Element Simulation of Heat Transfer; Table of Contents; Introduction; PART 1. Steady State Conduction; Chapter 1. Problem Formulation; 1.1. Physical modeling; 1.1.1. Thermal equilibrium equation; 1.1.2. Fourier law; 1.1.3. Boundary conditions; 1.2. Mathematical analysis; 1.2.1. Weighted residual method; 1.2.2.Weak integral formulation; 1.3. Working example; 1.3.1. Physical modeling; 1.3.2. Direct methods; 1.3.2.1. Analytical integration; 1.3.2.2. The finite difference method; 1.3.3. Collocation methods; 1.3.3.1. Point collocation; 1.3.3.2. Sub-domain collocation; 1.3.4.Galerkin method
1.3.4.1. Polynomial functions1.3.4.2. Piecewise linear functions; Chapter 2. The Finite Element Method; 2.1. Finite element approximation; 2.1.1.Mesh; 2.1.2. Nodal approximation; 2.2.Discrete problem formulation; 2.2.1. Element quantities; 2.2.2. Assembly; 2.3. Solution; 2.3.1. Application of temperature boundary conditions; 2.3.2. Linear system solution; 2.3.2.1. Direct methods; 2.3.2.2. Iterative methods; 2.3.3. Storing the linear system matrix; 2.3.4. Analysis of results; 2.3.4.1. Smoothing the heat flux density; 2.3.4.2. Result accuracy; 2.4. Working example 2.4.1. Finite element approximation2.4.1.1.Mesh; 2.4.1.2. Nodal approximation; 2.4.2.Discrete problem formulation; 2.4.2.1. Element quantities; 2.4.2.2. Assembly; 2.4.3. Solution; 2.4.3.1. Application of boundary conditions; 2.4.3.2. Solution; Chapter 3. Isoparametric Finite Elements; 3.1. Definitions; 3.1.1. Reference element; 3.1.1.1. Triangular element with linear transformation functions; 3.1.1.2. Quadrangle element with linear transformation functions; 3.1.1.3. Quadrangle element with quadratic transformation functions; 3.1.2. Isoparametric elements 3.1.3. Interpolation function properties3.2. Calculation of element quantities; 3.2.1. Expression in the reference frame; 3.2.2. Gaussian quadrature; 3.2.2.1. 1D numerical integration; 3.2.2.2. 2D and 3D numerical integration; 3.3. Some finite elements; PART 2. Transient State, Non-linearities, Transport Phenomena; Chapter 4. Transient Heat Conduction; 4.1. Problem formulation; 4.1.1. The continuous problem; 4.1.2. Finite element approximation; 4.1.3. Linear case; 4.2.Time integration; 4.2.1. Modal method; 4.2.1.1. Determining the modal basis; 4.2.1.2. Projection on the modal basis 4.2.2.Direct time integration4.2.3. Accuracy and stability of a direct integration algorithm; 4.2.3.1. Accuracy; 4.2.3.2. Stability; 4.2.3.3. Simplified analysis of the stability condition; 4.2.4. Practical complementary rules; 4.2.4.1. Space oscillations during thermal shock simulation; 4.2.4.2. Discrete maximum principle; 4.2.4.3. Initial temperatures during thermal contact simulation; 4.3. Working example; 4.3.1. Physical modeling and approximation; 4.3.2. Numerical applications; Chapter 5. Non-linearities; 5.1. Formulation and solution techniques; 5.1.1. Formulation 5.1.2. Non-linear equation system solution methods |
| Record Nr. | UNINA-9910139467003321 |
Bergheau Jean-Michel
|
||
| London, : ISTE Ltd. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite element simulation of heat transfer [[electronic resource] /] / Jean-Michel Bergheau, Roland Fortunier
| Finite element simulation of heat transfer [[electronic resource] /] / Jean-Michel Bergheau, Roland Fortunier |
| Autore | Bergheau Jean-Michel |
| Pubbl/distr/stampa | London, : ISTE Ltd. |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina |
621.402/2015118
621.4022015118 |
| Altri autori (Persone) | FortunierRoland |
| Collana | ISTE |
| Soggetto topico |
Heat - Transmission - Mathematical models
Finite element method |
| ISBN |
1-282-16521-6
9786612165214 0-470-61141-3 0-470-39403-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Element Simulation of Heat Transfer; Table of Contents; Introduction; PART 1. Steady State Conduction; Chapter 1. Problem Formulation; 1.1. Physical modeling; 1.1.1. Thermal equilibrium equation; 1.1.2. Fourier law; 1.1.3. Boundary conditions; 1.2. Mathematical analysis; 1.2.1. Weighted residual method; 1.2.2.Weak integral formulation; 1.3. Working example; 1.3.1. Physical modeling; 1.3.2. Direct methods; 1.3.2.1. Analytical integration; 1.3.2.2. The finite difference method; 1.3.3. Collocation methods; 1.3.3.1. Point collocation; 1.3.3.2. Sub-domain collocation; 1.3.4.Galerkin method
1.3.4.1. Polynomial functions1.3.4.2. Piecewise linear functions; Chapter 2. The Finite Element Method; 2.1. Finite element approximation; 2.1.1.Mesh; 2.1.2. Nodal approximation; 2.2.Discrete problem formulation; 2.2.1. Element quantities; 2.2.2. Assembly; 2.3. Solution; 2.3.1. Application of temperature boundary conditions; 2.3.2. Linear system solution; 2.3.2.1. Direct methods; 2.3.2.2. Iterative methods; 2.3.3. Storing the linear system matrix; 2.3.4. Analysis of results; 2.3.4.1. Smoothing the heat flux density; 2.3.4.2. Result accuracy; 2.4. Working example 2.4.1. Finite element approximation2.4.1.1.Mesh; 2.4.1.2. Nodal approximation; 2.4.2.Discrete problem formulation; 2.4.2.1. Element quantities; 2.4.2.2. Assembly; 2.4.3. Solution; 2.4.3.1. Application of boundary conditions; 2.4.3.2. Solution; Chapter 3. Isoparametric Finite Elements; 3.1. Definitions; 3.1.1. Reference element; 3.1.1.1. Triangular element with linear transformation functions; 3.1.1.2. Quadrangle element with linear transformation functions; 3.1.1.3. Quadrangle element with quadratic transformation functions; 3.1.2. Isoparametric elements 3.1.3. Interpolation function properties3.2. Calculation of element quantities; 3.2.1. Expression in the reference frame; 3.2.2. Gaussian quadrature; 3.2.2.1. 1D numerical integration; 3.2.2.2. 2D and 3D numerical integration; 3.3. Some finite elements; PART 2. Transient State, Non-linearities, Transport Phenomena; Chapter 4. Transient Heat Conduction; 4.1. Problem formulation; 4.1.1. The continuous problem; 4.1.2. Finite element approximation; 4.1.3. Linear case; 4.2.Time integration; 4.2.1. Modal method; 4.2.1.1. Determining the modal basis; 4.2.1.2. Projection on the modal basis 4.2.2.Direct time integration4.2.3. Accuracy and stability of a direct integration algorithm; 4.2.3.1. Accuracy; 4.2.3.2. Stability; 4.2.3.3. Simplified analysis of the stability condition; 4.2.4. Practical complementary rules; 4.2.4.1. Space oscillations during thermal shock simulation; 4.2.4.2. Discrete maximum principle; 4.2.4.3. Initial temperatures during thermal contact simulation; 4.3. Working example; 4.3.1. Physical modeling and approximation; 4.3.2. Numerical applications; Chapter 5. Non-linearities; 5.1. Formulation and solution techniques; 5.1.1. Formulation 5.1.2. Non-linear equation system solution methods |
| Record Nr. | UNINA-9910830663303321 |
|
Bergheau Jean-Michel
|
||
| London, : ISTE Ltd. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite element simulation of heat transfer / / Jean-Michel Bergheau, Roland Fortunier
| Finite element simulation of heat transfer / / Jean-Michel Bergheau, Roland Fortunier |
| Autore | Bergheau Jean-Michel |
| Pubbl/distr/stampa | London, : ISTE Ltd. |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 621.402/2015118 |
| Altri autori (Persone) | FortunierRoland |
| Collana | ISTE |
| Soggetto topico |
Heat - Transmission - Mathematical models
Finite element method |
| ISBN |
1-282-16521-6
9786612165214 0-470-61141-3 0-470-39403-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Finite Element Simulation of Heat Transfer; Table of Contents; Introduction; PART 1. Steady State Conduction; Chapter 1. Problem Formulation; 1.1. Physical modeling; 1.1.1. Thermal equilibrium equation; 1.1.2. Fourier law; 1.1.3. Boundary conditions; 1.2. Mathematical analysis; 1.2.1. Weighted residual method; 1.2.2.Weak integral formulation; 1.3. Working example; 1.3.1. Physical modeling; 1.3.2. Direct methods; 1.3.2.1. Analytical integration; 1.3.2.2. The finite difference method; 1.3.3. Collocation methods; 1.3.3.1. Point collocation; 1.3.3.2. Sub-domain collocation; 1.3.4.Galerkin method
1.3.4.1. Polynomial functions1.3.4.2. Piecewise linear functions; Chapter 2. The Finite Element Method; 2.1. Finite element approximation; 2.1.1.Mesh; 2.1.2. Nodal approximation; 2.2.Discrete problem formulation; 2.2.1. Element quantities; 2.2.2. Assembly; 2.3. Solution; 2.3.1. Application of temperature boundary conditions; 2.3.2. Linear system solution; 2.3.2.1. Direct methods; 2.3.2.2. Iterative methods; 2.3.3. Storing the linear system matrix; 2.3.4. Analysis of results; 2.3.4.1. Smoothing the heat flux density; 2.3.4.2. Result accuracy; 2.4. Working example 2.4.1. Finite element approximation2.4.1.1.Mesh; 2.4.1.2. Nodal approximation; 2.4.2.Discrete problem formulation; 2.4.2.1. Element quantities; 2.4.2.2. Assembly; 2.4.3. Solution; 2.4.3.1. Application of boundary conditions; 2.4.3.2. Solution; Chapter 3. Isoparametric Finite Elements; 3.1. Definitions; 3.1.1. Reference element; 3.1.1.1. Triangular element with linear transformation functions; 3.1.1.2. Quadrangle element with linear transformation functions; 3.1.1.3. Quadrangle element with quadratic transformation functions; 3.1.2. Isoparametric elements 3.1.3. Interpolation function properties3.2. Calculation of element quantities; 3.2.1. Expression in the reference frame; 3.2.2. Gaussian quadrature; 3.2.2.1. 1D numerical integration; 3.2.2.2. 2D and 3D numerical integration; 3.3. Some finite elements; PART 2. Transient State, Non-linearities, Transport Phenomena; Chapter 4. Transient Heat Conduction; 4.1. Problem formulation; 4.1.1. The continuous problem; 4.1.2. Finite element approximation; 4.1.3. Linear case; 4.2.Time integration; 4.2.1. Modal method; 4.2.1.1. Determining the modal basis; 4.2.1.2. Projection on the modal basis 4.2.2.Direct time integration4.2.3. Accuracy and stability of a direct integration algorithm; 4.2.3.1. Accuracy; 4.2.3.2. Stability; 4.2.3.3. Simplified analysis of the stability condition; 4.2.4. Practical complementary rules; 4.2.4.1. Space oscillations during thermal shock simulation; 4.2.4.2. Discrete maximum principle; 4.2.4.3. Initial temperatures during thermal contact simulation; 4.3. Working example; 4.3.1. Physical modeling and approximation; 4.3.2. Numerical applications; Chapter 5. Non-linearities; 5.1. Formulation and solution techniques; 5.1.1. Formulation 5.1.2. Non-linear equation system solution methods |
| Record Nr. | UNINA-9910877367703321 |
|
Bergheau Jean-Michel
|
||
| London, : ISTE Ltd. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||