A Three-Dimensional Open-Source Solver for Incompressible Viscoelastic Two-Component Flows

Abstract In this study, we unveil a three-dimensional flow solver designed to simulate viscoelastic two-phase flows using the Oldroyd-B formulation. Acknowledging the challenges that researchers encounter in this dynamic field, we have integrated the three-dimensional Log conformation approach into the open-source flow solver basilisk, significantly enhancing its capabilities beyond its two-dimensional predecessors. Our solver stands as a testament to rigorous testing against a wide range of three-dimensional viscoelastic flow challenges, encompassing both single and two-phase scenarios drawn from established literature. True to its two-dimensional roots, it exhibits extraordinary robustness, adeptly managing viscoelastic flows, even at high Weissenberg numbers. By offering this powerful solver as an open-source resource, we aspire to empower the computational fluid dynamics community. We believe it will become an invaluable tool for researchers delving into the complexities of viscoelastic flows, fostering innovation and inspiring new progress in the field.