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20182021
most citedEntropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations

11 citations · 17 across the 4 of their papers we have counts for

collaborators

11 papers

math.NA20216 cited

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…

math.NA2021

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…

math.NA2020

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…

math.NA2019

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…

math.NA2019

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,…

math.NA2019

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…