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20202022
most citedHigh-Order Central-Upwind shock capturing scheme using a Boundary Variation Diminishing (BVD) Algorithm

29 citations · 29 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2022

Orbit equivalences of pseudo-Anosov flows

Thomas Barthelmé, Steven Frankel, Kathryn Mann

We prove a classification theorem for transitive Anosov and pseudo-Anosov flows on closed 3-manifolds, up to orbit equivalence. In many cases, flows on a 3-manifold are complet…

math.NA2022

On the Importance of High-Frequency Damping in High-Order Conservative Finite-Difference Schemes for Viscous Fluxes

Amareshwara Sainadh Chamarthi, Sean Bokor, Steven H. Frankel

This paper discusses the importance of high-frequency damping in high-order conservative finite-difference schemes for viscous terms in the Navier-Stokes equations. Investigating n…

math.NA2021

Implicit gradients based novel finite volume scheme for compressible single and multi-component flows

Amareshwara Sainadh Chamarthi, Steven H. Frankel, Abhishek Chintagunta

This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries in the finite volume approach. Explicit gradients used in deriving the reconstruction…

physics.flu-dyn2021

Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations

Vikram Singh, Steven Frankel, Jan Nordström

Affordable, high order simulations of turbulent flows on unstructured grids for very high Reynolds number flows require wall models for efficiency. However, different wall models h…

math.NA202029 cited

High-Order Central-Upwind shock capturing scheme using a Boundary Variation Diminishing (BVD) Algorithm

Amareshwara Sainadh Chamarthi, Steven Frankel

In this paper, we present a novel hybrid nonlinear explicit-compact scheme for shock-capturing based on a boundary variation diminishing (BVD) reconstruction. In our approach, we c…