A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing

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The Piecewise Parabolic Method for Multidimensional Relativistic Fluid Dynamics (2005, methodology): “The homogeneous operator H t is based on the spatially unsplit fully corner-coupled method (CTU, Colella 1990; Saltzman 1994; Miller & Colella 2001, 2002).”
An unsplit Godunov method for ideal MHD via constrained transport (2005, background): “For a thorough discussion of PPM or its linear variant PLM and its implementation we refer the reader to the excellent descriptions in [8,29,24].”
CASTRO: A NEW COMPRESSIBLE ASTROPHYSICAL SOLVER. I. HYDRODYNAMICS AND SELF-GRAVITY (2010, methodology): “We have replaced the PPM limiters in Miller & Colella (2002) with an updated PPM algorithm that is designed to preserve accuracy at smooth extrema and is insensitive to asymmetries caused by roundoff error (Colella & Sekora 2008; McCorquodale & Colella 2010).”
A Cartesian grid embedded boundary method for hyperbolic conservation laws (2006, background): “One is to revisit the hyperbolic free-boundary algorithms in [5,2,12,10].”
A sharp interface immersed boundary method for compressible viscous flows (2007, methodology): “It should be pointed out that finite-volume based Cartesian grid methods have been developed for inviscid compressible flows by Collella and co-workers [15,16], and Legay et al.”