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Nektar++
From Wikipedia, the free encyclopedia
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Nektar++ is a spectral/hp element framework designed to support the construction of efficient high-performance scalable solvers for a wide range of partial differential equations (PDE).[1][2] The code is released as open-source under the MIT license. Although primarily driven by application-based research, it has been designed as a platform to support the development of novel numerical techniques in the area of high-order finite element methods.
Nektar++ is modern object-oriented code written in C++ and is being actively developed by members of the SherwinLab at Imperial College London (UK) and Kirby's group at the University of Utah (US).
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Capabilities
Summarize
Perspective
Nektar++ includes the following capabilities:
- One-, two- and three-dimensional problems;[1]
- Multiple and mixed element types, i.e. triangles, quadrilaterals, tetrahedra, prisms and hexahedra;[1]
- Both hierarchical and nodal expansion bases with variable and heterogeneous polynomial order between elements;
- Continuous Galerkin, discontinuous Galerkin,[3] hybridizable discontinuous Galerkin[4][5] and flux reconstruction[6] operators;
- Multiple implementations of finite element operators for efficient execution on a wide range of CPU architectures;[7][8][9]
- Comprehensive range of explicit, implicit and implicit-explicit (IMEX) time-integration schemes;[10][11]
- Preconditioners tailored to high-order finite element methods;
- Numerical stabilization techniques such as dealiasing[12] and spectral vanishing viscosity;[13][14]
- Parallel execution and scalable to thousands of processor cores;[15]
- Pre-processing tools to generate meshes, or manipulate and convert meshes generated with third-party software into a Nektar++-readable format;[16]
- Extensive post-processing capabilities for manipulating output data;
- Cross platform support for Linux, Mac OS X and Windows;
- Support for running jobs on cloud computing platforms via the prototype Nekkloud interface[17] from the libhpc project;[18]
- Wide user community,[19] support and annual workshop.[20]
Stable versions of the software are released on a 1-month basis and it is supported by an extensive testing framework[21] which ensures correctness across a range of platforms and architectures.
Other capabilities currently under active development include p-adaption,[22] r-adaption and support for accelerators (GPGPU, Intel Xeon Phi).
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Application domains
The development of the Nektar++ framework is driven by a number of aerodynamics and biomedical engineering applications and consequently the software package includes a number of pre-written solvers for these areas.
Incompressible flow
This solver time-integrates the incompressible Navier-Stokes equations for performing large-scale direct numerical simulation (DNS) in complex geometries.[15] It also supports the linearised and adjoint forms of the Navier-Stokes equations for evaluating hydrodynamic stability of flows.[23][24]
Compressible flow
External aerodynamics simulations of high-speed compressible flows are supported through solution of the compressible Euler or Navier-Stokes equations.[25]
Cardiac Electrophysiology
This solver supports the solution of the monodomain model and bidomain model of action potential propagation through myocardium.[26]
Other application areas
- shallow water equations;
- reaction-diffusion-advection problems;
- pulse wave propagation solver for modelling arterial networks;
- acoustic perturbation equations;
- linear elasticity equations.
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License
Nektar++ is free and open source software, released under the MIT license.[27]
Alternative software
Free and open-source software
- Nek5000 (BSD[28])
- Advanced Simulation Library (AGPL)
- Code Saturne (GPL)
- FEATool Multiphysics[29]
- Gerris Flow Solver (GPL)
- OpenFOAM (GPL)
- SU2 code (LGPL)
- PyFR
Proprietary software
References
External links
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