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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

collaborators

8 papers

math.NA20223 cited

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

Hiroaki Nishikawa, Boris Diskin

In this short note, we discuss the use of arithmetic averages for the evaluation of viscous coefficients such as temperature and velocity components at a face as required in a cell…

math.NA20211 cited

Improved Wall-Normal Derivative Formulae for Anisotropic Adaptive Simplex-Element Grids

Hiroaki Nishikawa

In this paper, we explore methods for computing wall-normal derivatives used for calculating wall skin friction and heat transfer over a solid wall in unstructured simplex-element…

math.NA2020

Economically High-Order Unstructured-Grid Methods: Clarification and Efficient FSR Schemes

Hiroaki Nishikawa

In this paper, we clarify reconstruction-based discretization schemes for unstructured grids and discuss their economically high-order versions, which can achieve high-order accura…

math.NA2020

Grid Quality Measures for Iterative Convergence

Hiroaki Nishikawa

In this paper, we discuss two grid-quality measures, F- and G-measures, in relation to iterative convergence of an implicit unstructured-grid Navier-Stokes solver. The F-measure is…

math.NA2020

On Estimating Machine-Zero Residual

Hiroaki Nishikawa

In this paper, we propose two techniques to estimate the magnitude of a machine-zero residual for a given problem, which is the smallest possible residual that can be achieved when…

math.NA2020

The QUICK Scheme is a Third-Order Finite-Volume Scheme with Point-Valued Numerical Solutions

Hiroaki Nishikawa

In this paper, we resolve the ever-present confusion over the QUICK scheme: it is a second-order scheme or a third-order scheme. The QUICK scheme, as proposed in the original refer…