20 citations · 75 across the 12 of their papers we have counts for
13 papers
Scalable Evaluation of Hadamard Products with Tensor Product Basis for Entropy-Stable High-Order Methods
Alexander Cicchino, Siva Nadarajah
A sum-factorization form for the evaluation of Hadamard products with a tensor product basis is derived in this work. The proposed algorithm allows for Hadamard products to be comp…
Provably Stable Flux Reconstruction High-Order Methods on Curvilinear Elements
Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah +2
Provably stable flux reconstruction (FR) schemes are derived for partial differential equations cast in curvilinear coordinates. Specifically, energy stable flux reconstruction (ES…
Nonlinearly Stable Flux Reconstruction High-Order Methods in Split Form
Alexander Cicchino, Siva Nadarajah, David C. Del Rey Fernández
The flux reconstruction (FR) method has gained popularity in the research community as it recovers promising high-order methods through modally filtered correction fields, such as…
Full-Space Approach to Aerodynamic Shape Optimization
Doug Shi-Dong, Siva Nadarajah
Aerodynamic shape optimization (ASO) involves finding an optimal surface while constraining a set of nonlinear partial differential equations (PDE). The conventional approaches use…
Numerical Dissipation Based Error Estimators and Grid Adaptation for Large Eddy Simulation
Yao Jiang, Siva Nadarajah
Grid adaptation for implicit Large Eddy Simulation (LES) is a non-trivial challenge due to the inherent coupling of the modeling and numerical errors. An attempt to address the cha…
A robust quasi-optimal test norm for a DPG discretization of the convection-diffusion equation
Stephen Metcalfe, Siva Nadarajah
In this work, we propose a new quasi-optimal test norm for a discontinuous Petrov-Galerkin (DPG) discretization of the ultra-weak formulation of the convection-diffusion equation.…
An asynchronous incomplete block LU preconditioner for computational fluid dynamics on unstructured grids
Aditya Kashi, Siva Nadarajah
We present a study of the effectiveness of asynchronous incomplete LU factorization preconditioners for the time-implicit solution of compressible flow problems while exploiting th…
Stability of Energy Stable Flux Reconstruction for the Diffusion Problem using the Interior Penalty and Bassi and Rebay II Numerical Fluxes for Linear Triangular Elements
Samuel Quaegebeur, Siva Nadarajah
The flux reconstruction (FR) method has gained popularity within the research community. The approach has been demonstrated to recover high-order methods such as the discontinuous…
On the Geometric Conservation Law for the Non Linear Frequency Domain and Time-Spectral Methods
Marc Benoit, Siva Nadarajah
The aim of this paper is to present and validate two new procedures to enforce the Geometric Conservation Law (GCL) on a moving grid for an Arbitrary Lagrangian Eulerian (ALE) form…
Stability of Energy Stable Flux Reconstruction for the Diffusion Problem using the Interior Penalty and Bassi and Rebay II Numerical Fluxes
Samuel Quaegebeur, Siva Nadarajah, Farshad Navah +1
Recovering some prominent high-order approaches such as the discontinuous Galerkin (DG) or the spectral difference (SD) methods, the flux reconstruction (FR) approach has been adop…
On the verification of CFD solvers of all orders of accuracy on curved wall-bounded domains and for realistic RANS flows
Farshad Navah, Siva Nadarajah
This paper aims at extending the code verification methodology to high-order accurate scheme implementations on curved wall-bounded domains as well as for realistic turbulent flows…
A comprehensive high-order solver verification methodology for free fluid flows
Farshad Navah, Siva Nadarajah
The aim of this article is to present a comprehensive methodology for the verification of computational fluid dynamics (CFD) solvers with a special attention to aspects pertinent t…
On the Necessity of Superparametric Geometry Representation for Discontinuous Galerkin Methods on Domains with Curved Boundaries
Philip Zwanenburg, Siva Nadarajah
We provide numerical evidence demonstrating the necessity of employing a superparametric geometry representation in order to obtain optimal convergence orders on two-dimensional do…