Quasi-static magneto-hydrodynamic convection in a rotating cylinder

Anthony Rouquier (Coventry University) We present a numerical study of the onset of rotating magnetoconvection in a cylinder under the quasi-static magneto-hydrodynamic approximation using the spectral-element solver Nektar++. The aim of this work is to obtain a better understanding of the convection process in planetary cores, especially in the tangent cylinder region. To this end […]

A spectral/hp element method for magnetohydrodynamics

Alexander Proskurin (Altai state technical university) A magnetohydrodynamic solver, based on the Nektar++ spectral/hp element framework, is presented. The velocity and electric potential quasi-static MHD model is used. The Hunt’s flow in square cross-section duct, and its stability are explored as example. Exponential convergence is achieved and the resulting numerical values were found to have […]

Fluid-Structure interaction simulation in Nektar++

Mohsen Lahooti (Imperial College London) A high-fidelity fluid-structure interaction (FSI) solver is developed in the Nektar++ framework. The FSI solver aims at simulation of highly deformable slender structures in largly separated high Reynolds number flows with applications to aeroelasticity and vortex-induced vibration of wind turbine blades. Thikc-strip method is adopted to reduce the computational costs […]

A geometrically informed algebraic multigrid preconditioner for solving high-order finite element systems

Hari Sundar (University of Utah, USA) We present two projects that aim to improve the linear algebra backend performance within nektar++. The first is an Algebraic Multigrid (AMG) module with support for high-order discretizations. While AMG is conventionally applied in a black-box fashion, agnostic to the underlying geometry, we use the geometric information — when […]

An overview of new tools in Nektar++ for solving fractional differential equations

Max Carlson (University of Utah, USA) There exist natural phenomena such as anomalous diffusion that have apparent non-local behavior that can be more faithfully represented using fractional-order differential equations. Since these fractional operators are non-local, traditional discretizations for ODEs and PDEs will not be sparse and require super-linear computational complexity to solve. Because of this […]

Convex optimization-based structure-preserving filtering for polynomial-based numerical methods

Vidhi Zala (University of Utah, USA) In the simulation sciences, capturing real-world problem features as accurately as possible is desirable. Methods popular for scientific simulations such as the finite element method (FEM) and the finite volume method (FVM) use piecewise polynomials to approximate various characteristics of the problem, such as the concentration profile of chemicals […]