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20132020
most citedNumerical Artifacts in the Generalized Porous Medium Equation: Why Harmonic Averaging Itself Is Not to Blame

12 citations · 23 across the 5 of their papers we have counts for

collaborators

5 papers

physics.comp-ph2020★ 1 cited

Compositional Effects in Thermal, Compositional and Reactive Simulation

Matthias A. Cremon, Margot G. Gerritsen

This work studies the influence of several compositional effects on thermal and reactive processes. First, the impact of using a fully compositional model in the context of thermal…

physics.comp-ph2020★ 5 cited

Multi-level Delumping Strategy for Thermal Enhanced Oil Recovery Simulations at Low Pressure

Matthias A. Cremon, Margot G. Gerritsen

We present a multi-level delumping method suitable for thermal enhanced oil recovery processes, for which hydrocarbon components are vaporized under high temperatures, move downstr…

math.NA2017★ 5 cited

Numerical Artifacts in the Discontinuous Generalized Porous Medium Equation: How to Avoid Spurious Temporal Oscillations

Danielle Maddix, Luiz Sampaio, Margot Gerritsen

Numerical discretizations of the Generalized Porous Medium Equation (GPME) with discontinuous coefficients are analyzed with respect to the formation of numerical artifacts. In add…

math.NA2017★ 12 cited

Numerical Artifacts in the Generalized Porous Medium Equation: Why Harmonic Averaging Itself Is Not to Blame

Danielle Maddix, Luiz Sampaio, Margot Gerritsen

The degenerate parabolic Generalized Porous Medium Equation (GPME) poses numerical challenges due to self-sharpening and its sharp corner solutions. For these problems, we show res…

math.NA2013

Variable relaxed schemes for multidimensional hyperbolic conservation laws

Shalini Krishnamurthy, Margot Gerritsen

We present a new class of component-wise numerical schemes that are in the family of relaxation formulations, originally introduced by [S. Jin and Z. P. Xin, Comm. Pure Appl. Math.…