Low-dimensional modeling and numerical simulation of transition in simple shear flows

D Rempfer - Annual review of fluid mechanics, 2003 - annualreviews.org
▪ Abstract This review describes some of the important developments in the numerical
investigation of transition to turbulence in wall-bounded and free shear flows during the past …

Assessment of inflow boundary conditions for compressible turbulent boundary layers

S Xu, MP Martin - Physics of Fluids, 2004 - pubs.aip.org
A description of different inflow methodologies for turbulent boundary layers, including
validity and limitations, is presented. We show that the use of genuine periodic boundary …

Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier–Stokes equations

RK Shukla, M Tatineni, X Zhong - Journal of Computational Physics, 2007 - Elsevier
This article presents a family of very high-order non-uniform grid compact finite difference
schemes with spatial orders of accuracy ranging from 4th to 20th for the incompressible …

Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation

RK Shukla, X Zhong - Journal of Computational Physics, 2005 - Elsevier
In this paper simple polynomial interpolation is used to derive arbitrarily high-order compact
schemes for the first derivative and tridiagonal compact schemes for the second derivative …

Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics

C Guo, L Sun, S Li, Z Yuan, C Wang - ar** phase
K Bhaganagar - Journal of hydraulic research, 2014 - Taylor & Francis
Direct numerical simulation (DNS) is used to simulate lock-exchange flow to understand
density currents over rough surfaces. This work is one of the first DNS to simulate density …