Adaptive characteristics-based matching for compressible multifluid dynamics. - Robert R. Nourgaliev; Truc-Nam Dinh; Theo G. Theofanous (J. Comput. Phys., 2006)

High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set. - Robert R. Nourgaliev; Theo G. Theofanous (J. Comput. Phys., 2007)

Numerical prediction of interfacial instabilities: Sharp interface method (SIM). - Robert R. Nourgaliev; Meng-Sing Liou; Theo G. Theofanous (J. Comput. Phys., 2008)

On physics-based preconditioning of the Navier-Stokes equations. - HyeongKae Park; Robert R. Nourgaliev; Richard C. Martineau; Dana A. Knoll (J. Comput. Phys., 2009)

A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids. - Hong Luo; Luqing Luo; Robert R. Nourgaliev; Vincent Mousseau; Nam Dinh (J. Comput. Phys., 2010)

Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking. - Robert R. Nourgaliev; Samet Kadioglu; Vincent Mousseau (SIAM J. Sci. Comput., 2010)

A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids. - Hong Luo; Yidong Xia; Shujie Li; Robert R. Nourgaliev; Chunpei Cai (J. Comput. Phys., 2012)

A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids. - Hong Luo; Yidong Xia; Seth Spiegel; Robert R. Nourgaliev; Zonglin Jiang (J. Comput. Phys., 2013)

Fully-implicit orthogonal reconstructed Discontinuous Galerkin method for fluid dynamics with phase change. - Robert R. Nourgaliev; Hong Luo; Brian Weston; Andy Anderson; Samuel P. Schofield; T. Dunn; Jean-Pierre Delplanque (J. Comput. Phys., 2016)

Dynamic mesh adaptation for front evolution using discontinuous Galerkin based weighted condition number relaxation. - Patrick T. Greene; Samuel P. Schofield; Robert R. Nourgaliev (J. Comput. Phys., 2017)

Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics. - Brian Weston; Robert R. Nourgaliev; Jean-Pierre Delplanque; Andrew T. Barker (J. Comput. Phys., 2019)

A Moving Discontinuous Galerkin Finite Element Method with Interface Conservation Enforcement for Compressible Flows. - Hong Luo; Gianni Absillis; Robert R. Nourgaliev (CoRR, 2021)

A moving discontinuous Galerkin finite element method with interface condition enforcement for compressible flows. - Hong Luo; Gianni Absillis; Robert R. Nourgaliev (J. Comput. Phys., 2021)