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Adaptive high-order methods in computational fluid dynamics [[electronic resource] /] / editor, Z.J. Wang
| Adaptive high-order methods in computational fluid dynamics [[electronic resource] /] / editor, Z.J. Wang |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (471 p.) |
| Disciplina | 532.00285 |
| Altri autori (Persone) | WangZ. J |
| Collana | Advances in computational fluid dynamics |
| Soggetto topico |
Fluid dynamics - Data processing
Differential equations - Numerical solutions - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-23470-X
9786613234704 981-4313-19-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Chapter 1: Discontinuous Galerkin for Turbulent Flows Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Antonio Ghidoni And Stefano Rebay; 1. Introduction; 2. DG Solution of the RANS and k-! Equations; 2.1. Governing equations; 2.1.1. Surface boundary condition for; 2.2. DG space discretization; 2.2.1. Orthonormal and hierarchical basis functions; 2.3. Time integration; 2.3.1. Linearly implicit Runge-Kutta schemes; 2.4. Shock-capturing approach; 3. Numerical Results; 3.1. L1T2 3-element airfoil; 3.2. ONERA M6 wing; 3.3. DPWIII W1 wing; 3.4. DLR-F6 wing-body configuration
3.5. NASA 65 sweep delta wing4. Final Remarks; Acknowledgments; References; Chapter 2: Massively Parallel Solution Techniques for Higher-Order Finite-Element Discretizations in CFD Laslo T. Diosady and David L. Darmofal; 1. Introduction; 2. Schwarz Methods; 2.1. The case of two subdomains; 2.2. The case of many subdomains; 2.3. Large scale CFD applications; 3. Schur Complement Methods; 3.1. An interface problem; 3.2. Classical substructuring methods; 3.3. Approximate factorizations; 4. Neumann-Neumann Methods; 4.1. BDDC and FETI-DP; 5. Numerical Results; References Chapter 3: Error Estimation and hp-Adaptive Mesh Refinement for Discontinuous Galerkin Methods Tobias Leicht and Ralf Hartmann1. Introduction; 2. Flow Problem and Its Discretization; 3. Error Estimation and Local Error Indicators; 3.1. Single target quantities; 3.2. Multiple target quantities; 4. Adaptation Strategies; 4.1. Comparison of h- and p-type mesh refinement; 4.2. Combined hp-refinement; 4.3. hp-indicator in 1D; 4.4. hp-indicator in multiple dimensions and for systems of equations; 4.5. Anisotropic h-subdivision; 5. Adaptive Refinement Algorithm; 6. Numerical Results 6.1. Laminar subsonic flow around an airfoil6.2. Transonic flow around an airfoil; 6.3. Laminar flow around a delta wing; 6.4. L1T2 three element high lift configuration; 6.5. Subsonic turbulent flow around the DLR-F6 wing-body configuration; 7. Conclusion and Outlook; Acknowledgments; References; Chapter 4: A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping Gregor J. Gassner, Florian Hindenlang and Claus-Dieter Munz; 1. Introduction; 2. General Formulation; 2.1. The semi discrete form; 2.2. The fully discrete form 2.3. The predictor-corrector formulation3. Beyond the Global Time Integration Paradigm; 3.1. Time-accurate local time stepping; 4. Results; 4.1. Time accuracy; 4.2. Accuracy for non-linear problems; 4.3. Application; 5. Conclusion; Acknowledgments; References; Chapter 5: High-Order Discontinuous Galerkin Methods for CFD Jaime Peraire and Per-Olof Persson; 1. Introduction; 2. Governing Equations; 2.1. The compressible Navier-Stokes equations; 2.2. Turbulence modeling; 2.3. Mapping-based ALE formulation for deformable domains; 2.3.1. The mapping; 2.3.2. Transformed equations 2.3.3. Geometric conservation law |
| Record Nr. | UNINA-9910464495603321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Adaptive high-order methods in computational fluid dynamics [[electronic resource] /] / editor, Z.J. Wang
| Adaptive high-order methods in computational fluid dynamics [[electronic resource] /] / editor, Z.J. Wang |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (471 p.) |
| Disciplina | 532.00285 |
| Altri autori (Persone) | WangZ. J |
| Collana | Advances in computational fluid dynamics |
| Soggetto topico |
Fluid dynamics - Data processing
Differential equations - Numerical solutions - Data processing |
| ISBN |
1-283-23470-X
9786613234704 981-4313-19-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Chapter 1: Discontinuous Galerkin for Turbulent Flows Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Antonio Ghidoni And Stefano Rebay; 1. Introduction; 2. DG Solution of the RANS and k-! Equations; 2.1. Governing equations; 2.1.1. Surface boundary condition for; 2.2. DG space discretization; 2.2.1. Orthonormal and hierarchical basis functions; 2.3. Time integration; 2.3.1. Linearly implicit Runge-Kutta schemes; 2.4. Shock-capturing approach; 3. Numerical Results; 3.1. L1T2 3-element airfoil; 3.2. ONERA M6 wing; 3.3. DPWIII W1 wing; 3.4. DLR-F6 wing-body configuration
3.5. NASA 65 sweep delta wing4. Final Remarks; Acknowledgments; References; Chapter 2: Massively Parallel Solution Techniques for Higher-Order Finite-Element Discretizations in CFD Laslo T. Diosady and David L. Darmofal; 1. Introduction; 2. Schwarz Methods; 2.1. The case of two subdomains; 2.2. The case of many subdomains; 2.3. Large scale CFD applications; 3. Schur Complement Methods; 3.1. An interface problem; 3.2. Classical substructuring methods; 3.3. Approximate factorizations; 4. Neumann-Neumann Methods; 4.1. BDDC and FETI-DP; 5. Numerical Results; References Chapter 3: Error Estimation and hp-Adaptive Mesh Refinement for Discontinuous Galerkin Methods Tobias Leicht and Ralf Hartmann1. Introduction; 2. Flow Problem and Its Discretization; 3. Error Estimation and Local Error Indicators; 3.1. Single target quantities; 3.2. Multiple target quantities; 4. Adaptation Strategies; 4.1. Comparison of h- and p-type mesh refinement; 4.2. Combined hp-refinement; 4.3. hp-indicator in 1D; 4.4. hp-indicator in multiple dimensions and for systems of equations; 4.5. Anisotropic h-subdivision; 5. Adaptive Refinement Algorithm; 6. Numerical Results 6.1. Laminar subsonic flow around an airfoil6.2. Transonic flow around an airfoil; 6.3. Laminar flow around a delta wing; 6.4. L1T2 three element high lift configuration; 6.5. Subsonic turbulent flow around the DLR-F6 wing-body configuration; 7. Conclusion and Outlook; Acknowledgments; References; Chapter 4: A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping Gregor J. Gassner, Florian Hindenlang and Claus-Dieter Munz; 1. Introduction; 2. General Formulation; 2.1. The semi discrete form; 2.2. The fully discrete form 2.3. The predictor-corrector formulation3. Beyond the Global Time Integration Paradigm; 3.1. Time-accurate local time stepping; 4. Results; 4.1. Time accuracy; 4.2. Accuracy for non-linear problems; 4.3. Application; 5. Conclusion; Acknowledgments; References; Chapter 5: High-Order Discontinuous Galerkin Methods for CFD Jaime Peraire and Per-Olof Persson; 1. Introduction; 2. Governing Equations; 2.1. The compressible Navier-Stokes equations; 2.2. Turbulence modeling; 2.3. Mapping-based ALE formulation for deformable domains; 2.3.1. The mapping; 2.3.2. Transformed equations 2.3.3. Geometric conservation law |
| Record Nr. | UNINA-9910788959503321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Adaptive high-order methods in computational fluid dynamics / / editor, Z.J. Wang
| Adaptive high-order methods in computational fluid dynamics / / editor, Z.J. Wang |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (471 p.) |
| Disciplina | 532.00285 |
| Altri autori (Persone) | WangZ. J |
| Collana | Advances in computational fluid dynamics |
| Soggetto topico |
Fluid dynamics - Data processing
Differential equations - Numerical solutions - Data processing |
| ISBN |
1-283-23470-X
9786613234704 981-4313-19-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Chapter 1: Discontinuous Galerkin for Turbulent Flows Francesco Bassi, Lorenzo Botti, Alessandro Colombo, Antonio Ghidoni And Stefano Rebay; 1. Introduction; 2. DG Solution of the RANS and k-! Equations; 2.1. Governing equations; 2.1.1. Surface boundary condition for; 2.2. DG space discretization; 2.2.1. Orthonormal and hierarchical basis functions; 2.3. Time integration; 2.3.1. Linearly implicit Runge-Kutta schemes; 2.4. Shock-capturing approach; 3. Numerical Results; 3.1. L1T2 3-element airfoil; 3.2. ONERA M6 wing; 3.3. DPWIII W1 wing; 3.4. DLR-F6 wing-body configuration
3.5. NASA 65 sweep delta wing4. Final Remarks; Acknowledgments; References; Chapter 2: Massively Parallel Solution Techniques for Higher-Order Finite-Element Discretizations in CFD Laslo T. Diosady and David L. Darmofal; 1. Introduction; 2. Schwarz Methods; 2.1. The case of two subdomains; 2.2. The case of many subdomains; 2.3. Large scale CFD applications; 3. Schur Complement Methods; 3.1. An interface problem; 3.2. Classical substructuring methods; 3.3. Approximate factorizations; 4. Neumann-Neumann Methods; 4.1. BDDC and FETI-DP; 5. Numerical Results; References Chapter 3: Error Estimation and hp-Adaptive Mesh Refinement for Discontinuous Galerkin Methods Tobias Leicht and Ralf Hartmann1. Introduction; 2. Flow Problem and Its Discretization; 3. Error Estimation and Local Error Indicators; 3.1. Single target quantities; 3.2. Multiple target quantities; 4. Adaptation Strategies; 4.1. Comparison of h- and p-type mesh refinement; 4.2. Combined hp-refinement; 4.3. hp-indicator in 1D; 4.4. hp-indicator in multiple dimensions and for systems of equations; 4.5. Anisotropic h-subdivision; 5. Adaptive Refinement Algorithm; 6. Numerical Results 6.1. Laminar subsonic flow around an airfoil6.2. Transonic flow around an airfoil; 6.3. Laminar flow around a delta wing; 6.4. L1T2 three element high lift configuration; 6.5. Subsonic turbulent flow around the DLR-F6 wing-body configuration; 7. Conclusion and Outlook; Acknowledgments; References; Chapter 4: A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping Gregor J. Gassner, Florian Hindenlang and Claus-Dieter Munz; 1. Introduction; 2. General Formulation; 2.1. The semi discrete form; 2.2. The fully discrete form 2.3. The predictor-corrector formulation3. Beyond the Global Time Integration Paradigm; 3.1. Time-accurate local time stepping; 4. Results; 4.1. Time accuracy; 4.2. Accuracy for non-linear problems; 4.3. Application; 5. Conclusion; Acknowledgments; References; Chapter 5: High-Order Discontinuous Galerkin Methods for CFD Jaime Peraire and Per-Olof Persson; 1. Introduction; 2. Governing Equations; 2.1. The compressible Navier-Stokes equations; 2.2. Turbulence modeling; 2.3. Mapping-based ALE formulation for deformable domains; 2.3.1. The mapping; 2.3.2. Transformed equations 2.3.3. Geometric conservation law |
| Record Nr. | UNINA-9910825751303321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical integration of differential equations and large linear systems : proceedings of two workshops held at the University of Bielefeld, Spring 1980. / / edited by Juergen Hinze
| Numerical integration of differential equations and large linear systems : proceedings of two workshops held at the University of Bielefeld, Spring 1980. / / edited by Juergen Hinze |
| Edizione | [1st ed. 1982.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1982] |
| Descrizione fisica | 1 online resource (VIII, 416 p.) |
| Disciplina | 519.2 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Linear systems
Differential equations - Numerical solutions - Data processing Mathematical analysis |
| ISBN | 3-540-39374-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | An overview of the techniques in use for solving the coupled equations of scattering theory -- Weyl's theory for second order differential equations and its application to some problems in quantum chemistry -- The discretization of continuous infinite sets of coupled ordinary linear differential equations: Application to the collision-induced dissociation of a diatomic molecule by an atom -- Extraction of continuum properties from L2 basis set matrix representations of the schrödinger equation: the sturm sequence polynomials and gauss quadrature -- Approximate solution of schrödinger's equation for atoms -- Numerical integration of linear inhomogeneous ordinary differential equations appearing in the nonadiabatic theory of small molecules -- Computation of solenoidal (divergence-free) vector fields -- Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and multigrid methods -- Are the numerical methods and software satisfactory for chemical kinetics? -- Optimization of nonlinear kinetic equation computation -- Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations -- Characterization of non-linearly stable implicit Runge-Kutta methods -- Compact deferred correction formulas -- Solving odes in quasi steady state -- A singular perturbations approach to reduced-order modeling and decoupling for large scale linear systems -- Global codes for BVODEs and their comparison -- Global error estimation in ordinary initial value problems -- Lower bounds for the accuracy of linear multistep methods -- Asymptotic error expansions and discrete newton methods for elliptic boundary value problems -- The use of sparse matrix techniques in ode — Codes -- On conjugate gradient methods for large sparse systems of linear equations -- A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix -- On modified incomplete factorization methods -- Solving large sparse linear systems arising in queuing problems -- Large eigenvalue problems in quantum chemistry -- Variational pseudo-gradient method for determination of m first eigenstates of a large real symmetric matrix -- Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems -- Large sparse unsymmetric eigenvalue problems. |
| Record Nr. | UNISA-996466579403316 |
| Berlin, Germany : , : Springer-Verlag, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Solving ODEs with MATLAB / L. F. Shampine, I. Gladwell, S. Thompson
| Solving ODEs with MATLAB / L. F. Shampine, I. Gladwell, S. Thompson |
| Autore | Shampine, Lawrence F. |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 2003 |
| Descrizione fisica | viii, 263 p. : ill. ; 24 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Gladwell, I.
Thompson, S. |
| Soggetto topico | Differential equations - Numerical solutions - Data processing |
| ISBN | 0521824044 |
| Classificazione |
AMS 65Y15
LC QA371.5.D37S43 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001816049707536 |
Shampine, Lawrence F.
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| Cambridge : Cambridge University Press, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
