Publications

Refereed journal publications

2024

A convergent finite-volume scheme for the diffusive compressible Euler model—resolved and under-resolved flows

Entropy stable far-field boundary conditions for the compressible Navier-Stokes equations

A stable scheme of the Curvilinear Shallow Water Equations with no-penetration and far-field boundary conditions

Refining the Eulerian flow model

2023

Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation.

A study of the diffusive properties of a modified compressible Navier-Stokes model

2022

Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme

Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition

Stability Issues of Entropy-Stable and/or Split-form High-order Schemes: Analysis of Linear Stability

Large Eddy Simulations by approximate weak entropy solutions

2021

Numerical study of two models for viscous compressible fluid flows

Entropy stable boundary conditions for the Euler equations

Convergence of energy stable finite-difference schemes with interfaces

2019

On the convergence rates of energy-stable finite-difference schemes

2018

A new Eulerian model for viscous and heat conducting compressible flows

Entropy Stability and the No-Slip Wall Boundary Condition

2017

Response to “Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation”

2016

Entropy Stable Summation-by-Parts Formulations for Compressible Computational Fluid Dynamics

A Convergent Numerical Scheme for the Compressible Navier–Stokes Equations

Entropy solutions of the compressible Euler equations

2015

Weak solutions and convergent numerical schemes of modified compressible Navier–Stokes equations

Efficiency Benchmarking of an Energy Stable High-Order Finite Difference Discretization

2014

A note on L∞ bounds and convergence rates of summation-by-parts schemes

Review of summation-by-parts schemes for initial-boundary-value problems

2013

Entropy-Stable Schemes for the Euler Equations with Far-Field and Wall Boundary Conditions

2012

Entropy stable schemes for initial-boundary-value conservation laws

Third-order accurate entropy-stable schemes for initial-boundary-value conservation laws

Higher order finite difference schemes for the magnetic induction equations with resistivity

2011

Implicit–explicit schemes for flow equations with stiff source terms

2010

A computational study of vortex–airfoil interaction using high-order finite difference methods

An adaptive implicit–explicit scheme for the DNS and LES of compressible flows on unstructured grids

On stability of numerical schemes via frozen coefficients and the magnetic induction equations

2009

Higher order finite difference schemes for the magnetic induction equations

A stable and conservative high order multi-block method for the compressible Navier–Stokes equations

Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes

A hybrid method for unsteady inviscid fluid flow

2008

An accuracy evaluation of unstructured node-centred finite volume methods

MathSciNet

Scholar Google

Cristin