what other recent sources of literature on this topic would you recommend? This is where I'm starting from: Leveque's article: HRIC schemeBut the related articles seem to be a bit dated (some up to 20 years). Can anyone with experience with such higher order schemes suggest a direction in which I could search?
High-resolution finite volume schemes for two phase flow (fields with jumps) literature sources
numerics;reference request;finite volume
I take it from your interest in the article that you are interested in incompressible two-phase flows which has quite a bit of literature on it.  One of the more common approaches and arguably most straight forward is to employ a level-set method.  I am not sure what the best paper on this is currently to suggest unfortunately.  Also, if you are interested in allowing the two fluids to mix you may try searching for volume-of-fluid approaches.  If you are actually interested in compressible two-phase flow (such as the Euler gas dynamics equations) then I can suggest some relatively recent papers on the subject:Saurel, R., Franquet, E., Daniel, E. & Metayer, O. L. A relaxation-projection method for compressible flows. Part I: The numerical equation of state for the Euler equations. Journal of Computational Physics 223, 822845 (2007).Schwendeman, D., Wahle, C. & Kapila, A. The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow. Journal of Computational Physics 212, 490526 (2006).Abgrall, R. & Karni, S. Computations of Compressible Multifluids. Journal of Computational Physics 169, 594623 (2001).Shyue, K.-M. A fluid-mixture type algorithm for barotropic two-fluid flow problems. Journal of Computational Physics 200, 718748 (2004).