title = "Spectral Methods for Time-Dependent Problems",
author = "Jan Hesthaven and Sigal Gottlieb and David Gottlieb",
publisher = "Cambridge University Press",
year = "2007"
}
@book{Demmel97,
author = "James W. Demmel",
title = "Applied Numerical Linear Algebra",
...
...
@@ -72,6 +79,20 @@ publisher = "SIAM",
year = 1997
}
@book{Heath,
title = "Scientific Computing: An Introductory Survey",
author = "Michael T. Heath",
publisher = "McGraw-Hill Companies",
year = "2002"
}
@book{CockburnKS,
title = "Discontinuous Galerkin Methods: Theory, Computation and Applications",
author = "Bernardo Cockburn and George Karniadakis and Chi-Wang Shu",
publisher = "Springer-Verlag",
year = "2000"
}
@article{Pa84,
title={A spectral element method for fluid dynamics: laminar flow in a channel expansion},
author={Patera, Anthony T},
...
...
@@ -169,7 +190,7 @@ publisher = "SIAM",
%%% Software
@article{VosSK2010,
@article{SK2010,
author = "Peter E. J. Vos and Spencer J. Sherwin and Robert M. Kirby",
title = "h-to-p Efficiently: Implementing Finite and Spectral/hp Element Methods to Achieve Optimal Performance for Low- and High-Order Discretisations",
In this part of the developer's guide, we walk you through development aspects of the various solvers that are available within publicly-available \nek repository.
For each of these solvers, user guides have been developed that help you see how to use these for various engineering applications. We encourage you to
use these solvers in your science and engineering work flows. If you find that the current solvers do not meet your needs and consequently you end up building
a new solver based upon our framework, we encourage you to consider submitting this to us for incorporation in the publicly-available master branch.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{ADRSolver: Solving the Advection-Reaction-Diffusion Equation}
In this chapter, we walk the reader through our Advection-Reaction-Diffusion Solver (ADRSolver).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{IncNavierStokesSolver: Solving the Incompressible Navier-Stokes Equations}
In this chapter, we walk the reader through our 2D and 3D incompressible Navier-Stokes Solver (IncNavierStokesSolver).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{CompressibleFlowSolver: Solving the Compressible Navier-Stokes Equations}
In this chapter, we walk the reader through our 2D and 3D compressible Navier-Stokes Solver (CompressibleFlowSolver).
In this part of the developer's guide, we walk you through development aspects of the various utilities that are available within publicly-available \nek repository.
We encourage you to incorporate these utilities into your science and engineering work flows. If you find that the current utilities do not meet your needs and consequently you end up building
a new utility based upon our framework, we encourage you to consider submitting this to us for incorporation in the publicly-available master branch.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{FieldConvert}
In this chapter, we walk the reader through FieldConvert.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{NekMesh}
In this chapter, we walk the reader through NekMesh.