134 citations · 471 across the 20 of their papers we have counts for
22 papers
Unlocking massively parallel spectral proper orthogonal decompositions in the PySPOD package
Marcin Rogowski, Brandon C. Y. Yeung, Oliver T. Schmidt +4
We propose a parallel (distributed) version of the spectral proper orthogonal decomposition (SPOD) technique. The parallel SPOD algorithm distributes the spatial dimension of the d…
On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics
Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro +4
We study temporal step size control of explicit Runge-Kutta methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic system…
Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows
Mohammed Sayyari, Matteo Parsani, Lisandro Dalcin
Nonlinear entropy stability analysis is used to derive entropy stable no-slip wall boundary conditions for the Eulerian model proposed by Svärd (Physica A: Statistical Mechanics an…
A rotated characteristic decomposition technique for high-order reconstructions in multi-dimensions
Hua Shen, Matteo Parsani
When constructing high-order schemes for solving hyperbolic conservation laws, the corresponding high-order reconstructions are commonly performed in characteristic spaces to elimi…
A class of high-order weighted compact central schemes for solving hyperbolic conservation laws
Hua Shen, Matteo Parsani
We propose a class of weighted compact central (WCC) schemes for solving hyperbolic conservation laws. The linear version can be considered as a high-order extension of the central…
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani +1
We develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limit…
Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations
Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani
Recently, relaxation methods have been developed to guarantee the preservation of a single global functional of the solution of an ordinary differential equation. Here, we generali…
On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations
Diego Rojas, Radouan Boukharfane, Lisandro Dalcin +4
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational a…
Optimized geometrical metrics satisfying free-stream preservation
Irving Reyna Nolasco, Lisandro Dalcin, David C. Del Rey Fernandez +2
Computational fluid dynamics and aerodynamics, which complement more expensive empirical approaches, are critical for developing aerospace vehicles. During the past three decades,…
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +2
In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconfo…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +4
The entropy conservative, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019), is extended from the compressible…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6
The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…
Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations
Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcin +2
The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Produc…
Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer
Lisandro Dalcin, Diego B. Rojas, Stefano Zampini +3
We present a novel technique for the imposition of non-linear entropy conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations in…
More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence
David I. Ketcheson, Mikael Mortensen, Matteo Parsani +1
Time integration of Fourier pseudo-spectral DNS is usually performed using the classical fourth-order accurate Runge--Kutta method, or other methods of second or third order, with…
An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property
Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández +3
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for systems of non-linear conservation laws with general geometric (h) and polynomia…
Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
Matteo Parsani, Mark H. Carpenter, Eric J. Nielsen
Non-linear entropy stability and a summation-by-parts framework are used to derive entropy stable wall boundary conditions for the three-dimensional compressible Navier--Stokes equ…
Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and extrapolation methods
David I. Ketcheson, Lajos Lóczi, Matteo Parsani
In practical computation with Runge--Kutta methods, the stage equations are not satisfied exactly, due to roundoff errors, algebraic solver errors, and so forth. We show by example…
Large eddy simulation of a muffler with the high-order spectral difference method
Matteo Parsani, Michael Bilka, Chris Lacor
The combination of the high-order accurate spectral difference discretization on unstructured grids with subgrid-scale modelling is investigated for large eddy simulation of a muff…
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems
M. Parsani, D. I. Ketcheson, W. Deconinck
Explicit Runge-Kutta schemes with large stable step sizes are developed for integration of high order spectral difference spatial discretization on quadrilateral grids. The new sch…
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems
David I. Ketcheson, Kyle T. Mandli, Aron Ahmadia +5
Development of scientific software involves tradeoffs between ease of use, generality, and performance. We describe the design of a general hyperbolic PDE solver that can be operat…
High-order Wave Propagation Algorithms for Hyperbolic Systems
David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
We present a finite volume method that is applicable to hyperbolic PDEs including spatially varying and semilinear nonconservative systems. The spatial discretization, like that of…