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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Nektar++ | 1/1 | https://en.wikipedia.org/wiki/Nektar++ | reference | science, encyclopedia | 2026-05-05T10:12:47.396780+00:00 | kb-cron |
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). 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).
== Capabilities == Nektar++ includes the following capabilities:
One-, two- and three-dimensional problems; Multiple and mixed element types, i.e. triangles, quadrilaterals, tetrahedra, prisms and hexahedra; Both hierarchical and nodal expansion bases with variable and heterogeneous polynomial order between elements; Continuous Galerkin, discontinuous Galerkin, hybridizable discontinuous Galerkin and flux reconstruction operators; Multiple implementations of finite element operators for efficient execution on a wide range of CPU architectures; Comprehensive range of explicit, implicit and implicit-explicit (IMEX) time-integration schemes; Preconditioners tailored to high-order finite element methods; Numerical stabilization techniques such as dealiasing and spectral vanishing viscosity; Parallel execution and scalable to thousands of processor cores; Pre-processing tools to generate meshes, or manipulate and convert meshes generated with third-party software into a Nektar++-readable format; 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 from the libhpc project; Wide user community, support and annual workshop. Stable versions of the software are released on a 1-month basis and it is supported by an extensive testing framework which ensures correctness across a range of platforms and architectures. Other capabilities currently under active development include p-adaption, r-adaption and support for accelerators (GPGPU, Intel Xeon Phi).
== 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. It also supports the linearised and adjoint forms of the Navier-Stokes equations for evaluating hydrodynamic stability of flows.
=== Compressible flow === External aerodynamics simulations of high-speed compressible flows are supported through solution of the compressible Euler or Navier-Stokes equations.
=== Cardiac Electrophysiology === This solver supports the solution of the monodomain model and bidomain model of action potential propagation through myocardium.
=== Other application areas === shallow water equations; reaction-diffusion-advection problems; pulse wave propagation solver for modelling arterial networks; acoustic perturbation equations; linear elasticity equations.
== License == Nektar++ is free and open source software, released under the MIT license.
== Alternative software ==
=== Free and open-source software === Nek5000 (BSD) Advanced Simulation Library (AGPL) Code Saturne (GPL) FEATool Multiphysics Gerris Flow Solver (GPL) OpenFOAM (GPL) SU2 code (LGPL) PyFR
=== Proprietary software === ADINA CFD ANSYS CFX ANSYS Fluent COMSOL Multiphysics Pumplinx Simcenter STAR-CCM+ KIVA (software) RELAP5-3D
== References ==
== External links ==
=== Official resources === Nektar++ home page Nektar++ Gitlab repository