A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. - Marianne M. Francois; Sharen J. Cummins; Edward D. Dendy; Douglas B. Kothe; James M. Sicilian; Matthew W. Williams (J. Comput. Phys., 2006)

A numerical method for interface reconstruction of triple points within a volume tracking algorithm. - Alexandre Caboussat; Marianne M. Francois; Roland Glowinski; Douglas B. Kothe; James M. Sicilian (Math. Comput. Model., 2008)

A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations. - Samuel P. Schofield; Rao V. Garimella; Marianne M. Francois; Raphaël Loubère (J. Comput. Phys., 2009)

Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids. - Marianne M. Francois; Blair K. Swartz (J. Comput. Phys., 2010)

Efficient simulation of surface tension-dominated flows through enhanced interface geometry interrogation. - Petar Liovic; Marianne M. Francois; Murray Rudman; Richard Manasseh (J. Comput. Phys., 2010)

An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells. - Steven Diot; Marianne M. François; Edward D. Dendy (J. Comput. Phys., 2014)

Cross-code comparisons of mixing during the implosion of dense cylindrical and spherical shells. - C. C. Joggerst; Anthony Nelson; Paul R. Woodward; Catherine Lovekin; Thomas Masser; Chris L. Fryer; P. Ramaprabhu; Marianne M. Francois; Gabriel Rockefeller (J. Comput. Phys., 2014)

A hybrid incremental projection method for thermal-hydraulics applications. - Mark Christon; József Bakosi; Balasubramanya T. Nadiga; Markus Berndt; Marianne M. Francois; Alan K. Stagg; Yidong Xia; Hong Luo (J. Comput. Phys., 2016)

An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells. - Steven Diot; Marianne M. François (J. Comput. Phys., 2016)

Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations. - Fernando Grinstein; Juan A. Saenz; Joshua C. Dolence; Thomas Masser; Rick M. Rauenzahn; Marianne M. Francois (Comput. Math. Appl., 2019)

A paraboloid fitting technique for calculating curvature from piecewise-linear interface reconstructions on 3D unstructured meshes. - Zechariah Jibben; Neil N. Carlson; Marianne M. Francois (Comput. Math. Appl., 2019)

Modeling surface tension in compressible flow on an adaptively refined mesh. - Zechariah Jibben; Jan Velechovský; Thomas Masser; Marianne M. Francois (Comput. Math. Appl., 2019)

Direction-aware slope limiter for three-dimensional cubic grids with adaptive mesh refinement. - Jan Velechovský; Marianne M. Francois; Thomas Masser (Comput. Math. Appl., 2019)

Tusas: A fully implicit parallel approach for coupled nonlinear equations. - Supriyo Ghosh; Christopher K. Newman; Marianne M. Francois (CoRR, 2020)

A survey of software implementations used by application codes in the Exascale Computing Project. - Thomas M. Evans 001; Andrew R. Siegel; Erik W. Draeger; Jack Deslippe; Marianne M. Francois; Timothy C. Germann; William E. Hart; Daniel F. Martin (Int. J. High Perform. Comput. Appl., 2022)

Dynamic calibration of differential equations using machine learning, with application to turbulence models. - Ismael Boureima; Vitaliy Gyrya; Juan A. Saenz; Susan Kurien; Marianne M. Francois (J. Comput. Phys., 2022)

Tusas: A fully implicit parallel approach for coupled phase-field equations. - Supriyo Ghosh; Christopher K. Newman; Marianne M. Francois (J. Comput. Phys., 2022)