Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier-Stokes equations. - Ratnesh K. Shukla; Mahidhar Tatineni; Xiaolin Zhong (J. Comput. Phys., 2007)

An interface capturing method for the simulation of multi-phase compressible flows. - Ratnesh K. Shukla; Carlos Pantano; Jonathan B. Freund (J. Comput. Phys., 2010)

Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows. - Ratnesh K. Shukla (J. Comput. Phys., 2014)

Isotropic finite volume discretization. - Ratnesh K. Shukla; Pritam Giri (J. Comput. Phys., 2014)

Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations. - Harshavardhana S. Pathak; Ratnesh K. Shukla (J. Comput. Phys., 2016)

Constrained least-squares based adaptive-order finite-volume WENO scheme for the simulation of viscous compressible flows on unstructured grids. - Sunder Dasika; Dipak Vaghani; Ratnesh K. Shukla (J. Comput. Phys., 2022)