Computational Fluid Dynamics

  • Producent: Chapman
  • Oprawa: Twarda
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Opis: Computational Fluid Dynamics

Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It presents various numerical methods, including finite volume, finite difference, finite element, spectral, smoothed particle hydrodynamics (SPH), mixed-element-volume, and free surface flow. Taking a unified point of view, the book first introduces the basis of finite volume, weighted residual, and spectral approaches. The contributors present the SPH method, a novel approach of computational fluid dynamics based on the mesh-free technique, and then improve the method using an arbitrary Lagrange Euler (ALE) formalism. They also explain how to improve the accuracy of the mesh-free integration procedure, with special emphasis on the finite volume particle method (FVPM). After describing numerical algorithms for compressible computational fluid dynamics, the text discusses the prediction of turbulent complex flows in environmental and engineering problems. The last chapter explores the modeling and numerical simulation of free surface flows, including future behaviors of glaciers. The diverse applications discussed in this book illustrate the importance of numerical methods in fluid mechanics. With research continually evolving in the field, there is no doubt that new techniques and tools will emerge to offer greater accuracy and speed in solving and analyzing even more fluid flow problems.Finite Volumes Methods, Jerome Boudet Introduction Conservativity Control volume integration Grid General flux interpolation Resolution and time discretization Consistency, stability, and convergence Upwind interpolation Particular case of structured grids Boundary conditions Weighted Residuals Methods, Fabien Godeferd Introduction Principles of the weighted residuals method Collocation or pseudo-spectral method Least squares method Method of moments Galerkin approximation Subdomains An example Spectral Methods, Fabien Godeferd Introduction Linear problem: Galerkin, tau, and collocation methods Applications: Fourier Applications: Chebyshev Implicit equations Evaluation of nonlinear terms Smoothed-Particle Hydrodynamics (SPH) Methods, Francis Leboeuf and Jean-Christophe Marongiu Introduction SPH approximation of a function Properties of the kernel function W Barycenter of D(xi) Choices of the kernel function W SPH approximation of differential operators applied on a function o Using a Taylor series expansion Concluding remarks Application of SPH Methods to Conservation Equations, Francis Leboeuf and Jean-Christophe Marongiu General form of conservation equation Weak SPH-ALE formulation of the conservation equations Application to flow conservation equations Boundary conditions Applications of SPH and SPH-ALE methods Finite Volume Particle Methods (FVPM), Francis Leboeuf and Jean-Christophe Marongiu Introduction Partition of unity Average of a function o Derivatives of psi Conservation equation and FVPM Concluding remarks Numerical Algorithms for Unstructured Meshes, Bruno Koobus, Frederic Alauzet, and Alain Dervieux Introduction Spatial representation Toward higher spatial order Positivity of mixed element-volume formulations 3D multi-scales anisotropic mesh adaptation 3D goal-oriented anisotropic mesh adaptation Concluding remarks LES, Variational Multiscale LES, and Hybrid Models, Hilde Ouvrard, Maria-Vittoria Salvetti, Simone Camarri, Stephen Wornom, Alain Dervieux, and Bruno Koobus Introduction Numerical model Large eddy simulation (LES) Variational multiscale large eddy simulation (VMS-LES) Hybrid RANS/LES Concluding remarks Numerical Algorithms for Free Surface Flow, Alexandre Caboussat, Guillaume Jouvet, Marco Picasso, and Jacques Rappaz Introduction A short review on two-phases flow with free surfaces Some preliminary remarks on ice and glacier modeling Modeling Time splitting scheme A two-grids method for space discretization Modeling of interfacial effects Numerical results for liquid flow Numerical results for ice flow Concluding remarks Bibliography


Szczegóły: Computational Fluid Dynamics

Tytuł: Computational Fluid Dynamics
Producent: Chapman
ISBN: 9781439856611
Rok produkcji: 2011
Ilość stron: 407
Oprawa: Twarda
Waga: 0.68 kg


Recenzje: Computational Fluid Dynamics

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Computational Fluid Dynamics

  • Producent: Chapman
  • Oprawa: Twarda

Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It presents various numerical methods, including finite volume, finite difference, finite element, spectral, smoothed particle hydrodynamics (SPH), mixed-element-volume, and free surface flow. Taking a unified point of view, the book first introduces the basis of finite volume, weighted residual, and spectral approaches. The contributors present the SPH method, a novel approach of computational fluid dynamics based on the mesh-free technique, and then improve the method using an arbitrary Lagrange Euler (ALE) formalism. They also explain how to improve the accuracy of the mesh-free integration procedure, with special emphasis on the finite volume particle method (FVPM). After describing numerical algorithms for compressible computational fluid dynamics, the text discusses the prediction of turbulent complex flows in environmental and engineering problems. The last chapter explores the modeling and numerical simulation of free surface flows, including future behaviors of glaciers. The diverse applications discussed in this book illustrate the importance of numerical methods in fluid mechanics. With research continually evolving in the field, there is no doubt that new techniques and tools will emerge to offer greater accuracy and speed in solving and analyzing even more fluid flow problems.Finite Volumes Methods, Jerome Boudet Introduction Conservativity Control volume integration Grid General flux interpolation Resolution and time discretization Consistency, stability, and convergence Upwind interpolation Particular case of structured grids Boundary conditions Weighted Residuals Methods, Fabien Godeferd Introduction Principles of the weighted residuals method Collocation or pseudo-spectral method Least squares method Method of moments Galerkin approximation Subdomains An example Spectral Methods, Fabien Godeferd Introduction Linear problem: Galerkin, tau, and collocation methods Applications: Fourier Applications: Chebyshev Implicit equations Evaluation of nonlinear terms Smoothed-Particle Hydrodynamics (SPH) Methods, Francis Leboeuf and Jean-Christophe Marongiu Introduction SPH approximation of a function Properties of the kernel function W Barycenter of D(xi) Choices of the kernel function W SPH approximation of differential operators applied on a function o Using a Taylor series expansion Concluding remarks Application of SPH Methods to Conservation Equations, Francis Leboeuf and Jean-Christophe Marongiu General form of conservation equation Weak SPH-ALE formulation of the conservation equations Application to flow conservation equations Boundary conditions Applications of SPH and SPH-ALE methods Finite Volume Particle Methods (FVPM), Francis Leboeuf and Jean-Christophe Marongiu Introduction Partition of unity Average of a function o Derivatives of psi Conservation equation and FVPM Concluding remarks Numerical Algorithms for Unstructured Meshes, Bruno Koobus, Frederic Alauzet, and Alain Dervieux Introduction Spatial representation Toward higher spatial order Positivity of mixed element-volume formulations 3D multi-scales anisotropic mesh adaptation 3D goal-oriented anisotropic mesh adaptation Concluding remarks LES, Variational Multiscale LES, and Hybrid Models, Hilde Ouvrard, Maria-Vittoria Salvetti, Simone Camarri, Stephen Wornom, Alain Dervieux, and Bruno Koobus Introduction Numerical model Large eddy simulation (LES) Variational multiscale large eddy simulation (VMS-LES) Hybrid RANS/LES Concluding remarks Numerical Algorithms for Free Surface Flow, Alexandre Caboussat, Guillaume Jouvet, Marco Picasso, and Jacques Rappaz Introduction A short review on two-phases flow with free surfaces Some preliminary remarks on ice and glacier modeling Modeling Time splitting scheme A two-grids method for space discretization Modeling of interfacial effects Numerical results for liquid flow Numerical results for ice flow Concluding remarks Bibliography

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Cena 453,00 PLN
Nasza cena 438,95 PLN
Oszczędzasz 3%
Wysyłka: Niedostępna
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Szczegóły: Computational Fluid Dynamics

Tytuł: Computational Fluid Dynamics
Producent: Chapman
ISBN: 9781439856611
Rok produkcji: 2011
Ilość stron: 407
Oprawa: Twarda
Waga: 0.68 kg


Recenzje: Computational Fluid Dynamics

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