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20192022
most citedArithmetic Averages of Viscosity Coefficient are Sufficient for Second-Order Finite-Volume Viscous Discretization on Unstructured Grids

3 citations · 4 across the 3 of their papers we have counts for

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physics.comp-ph2020

A Truncation Error Analysis of Third-Order MUSCL Scheme for Nonlinear Conservation Laws

Hiroaki Nishikawa

This paper is a rebuttal to the claim found in the literature that the MUSCL scheme cannot be third-order accurate for nonlinear conservation laws. We provide a rigorous proof for…

physics.comp-ph2019

First order hyperbolic approach for Anisotropic Diffusion equation

Amareshwara Sainadh Chamarthi, Hiroaki Nishikawa, Kimiya Komurasaki

In this paper, we present a high order finite difference solver for anisotropic diffusion problems based on the first-order hyperbolic system method. In particular, we demonstrate…