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Spectral/hp Element Methods for CFD
  • Language: en
  • Pages: 406

Spectral/hp Element Methods for CFD

This book is an essential reference for anyone interested in the use of spectral/hp element methods in fluid dynamics. It provides a comprehensive introduction to the field together with detailed examples of the methods to the incompressible and compressible Navier-Stokes equations.

Finite Elements and Fast Iterative Solvers
  • Language: en
  • Pages: 495

Finite Elements and Fast Iterative Solvers

  • Type: Book
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  • Published: 2014
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  • Publisher: Unknown

This book describes why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Convection-Diffusion problem, Stokes problem and Navier-Stokes problem, including new material on time-dependent problems and models of multi-physics. The corresponding iterative algebra based on precond...

Spectral/hp Element Methods for Computational Fluid Dynamics
  • Language: en
  • Pages: 680

Spectral/hp Element Methods for Computational Fluid Dynamics

  • Type: Book
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  • Published: 2005-06-02
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  • Publisher: OUP Oxford

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectr...

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
  • Language: en
  • Pages: 923

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.

New Challenges in Grid Generation and Adaptivity for Scientific Computing
  • Language: en
  • Pages: 326

New Challenges in Grid Generation and Adaptivity for Scientific Computing

  • Type: Book
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  • Published: 2015-04-27
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  • Publisher: Springer

This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). This book covers different, though related, aspects of the field: the generation of quality grids for complex three-dimensional geometries; parallel mesh generation algorithms; mesh adaptation, including both theoretical and implementation aspects; grid generation and adaptation on surfaces – all with an interesting mix of numerical analysis, computer science and strongly application-oriented problems.

Spectral/hp Element Methods for Computational Fluid Dynamics
  • Language: en
  • Pages: 676

Spectral/hp Element Methods for Computational Fluid Dynamics

Revision of: Spectral/hp element methods for CFD. 1999.

Domain Decomposition Methods - Algorithms and Theory
  • Language: en
  • Pages: 454

Domain Decomposition Methods - Algorithms and Theory

This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.

The Lattice Boltzmann Equation
  • Language: en
  • Pages: 308

The Lattice Boltzmann Equation

Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.

Improving Assessments of Hemodynamics and Vascular Disease
  • Language: en
  • Pages: 84

Improving Assessments of Hemodynamics and Vascular Disease

Blood vessels are more than simple pipes, passively enabling blood to pass through them. Their form and function are dynamic, changing with both aging and disease. This process involves a feedback loop wherein changes to the shape of a blood vessel affect the hemodynamics, causing yet more structural adaptation. This feedback loop is driven in part by the hemodynamic forces generated by the blood flow, and the distribution and strength of these forces appear to play a role in the initiation, progression, severity, and the outcome of vascular diseases. Magnetic Resonance Imaging (MRI) offers a unique platform for investigating both the form and function of the vascular system. The form of the...

Seventh IUTAM Symposium on Laminar-Turbulent Transition
  • Language: en
  • Pages: 628

Seventh IUTAM Symposium on Laminar-Turbulent Transition

The origins of turbulent ?ow and the transition from laminar to turbulent ?ow are the most important unsolved problems of ?uid mechanics and aerodynamics. - sides being a fundamental question of ?uid mechanics, there are numerous app- cations relying on information regarding transition location and the details of the subsequent turbulent ?ow. For example, the control of transition to turbulence is - pecially important in (1) skin-friction reduction of energy ef?cient aircraft, (2) the performance of heat exchangers and diffusers, (3) propulsion requirements for - personic aircraft, and (4) separation control. While considerable progress has been made in the science of laminar to turbulent tr...