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A Spectral Element Reduced Basis Method in Parametric CFD

This solver time-integrates the incompressible Navier-Stokes equations for performing large-scale direct numerical simulation DNS in complex geometries. External aerodynamics simulations of high-speed compressible flows are supported through solution of the compressible Euler or Navier-Stokes equations.


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This solver supports the solution of the monodomain model and bidomain model of action potential propagation through myocardium. From Wikipedia, the free encyclopedia. Computer Physics Communications. Retrieved 14 June International Journal for Numerical Methods in Engineering. Journal of Scientific Computing.

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Journal of Computational Physics. Symposium on High Accuracy Flow Simulations. Special Issue Dedicated to Prof. Volume 2C: Turbomachinery. Oslo, Norway.

Spectral hp Element Methods for Computational Fluid Dynamics Numerical Mathematics and Scientific Co

June 11—15, The study contributes at building best practices for the use of emerging high fidelity spectral element methods in turbomachinery predictions, with focus on the numerical details that are specific of these classes of methods. For this reason, the TA cascade is used as a base reference application because of availability of data from previous investigations. The effects of polynomial order p-refinement , spanwise domain extent and spanwise Fourier planes are considered, looking at flow statistics, convergence and sensitivity of the results.

Thanks to the reduced computational cost, the proposed methods will have a strong impact in turbomachinery, paving the way to its use for design purposes and also allowing for a deeper understanding of the flow physics. Sign In or Create an Account. Sign In. Advanced Search. Proceeding Navigation. Close mobile search navigation.


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Long Description. Traditionally spectral methods in fluid dynamics were used in direct and large eddy simulations of turbulent flow in simply connected computational domains.

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This book provides a comprehensive introduction to these methods. Written by leaders in the field, the book begins with a full explanation of fundamental concepts and implementation issues. It then illustrates how these methods can be applied to advection-diffusion and to incompressible and compressible Navier-Stokes equations. Drawing on both published and unpublished material, the book is an important resource for experienced researchers and for those new to the field.

George Karniadakis and Spencer Sherwin

It provides a comprehensive introduction to the field together with detailed examples of the methods to the incompressible and compressible Navier-Stokes equations. It then illustrateshow these methods can be applied to advection-diffusion and to incompressible and compressible Navier-Stokes equations. The authors have been at the forefront of developing and expanding the use of these methods, and this work draws on both published and unpublished material to provide a unique reference which will be useful for both novice and experienced readers.

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