A coupled pressure-based computational method for incompressible/compressible flows

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

“…Inside matrix A, A i j represents the coefficient submatrix for primitive variable j of the ith equation, with superscripts x, y, and z denoting the three momentum equations and c denoting the fourth equation derived using the momentum interpolation method presented in Section 2.2. Solution vector / is constituted by the solution subvectors of the three velocity components u, v, and w, and pressure p. Several studies have successfully applied similar fully coupled frameworks based on the momentum interpolation method [29,[31][32][33][34].…”

Numerical time-step restrictions as a result of capillary waves

“…[21][22][23][24], where the primitive variables are solved in a single system of linearised equations. A coupled implicit approach provides a strong, implicit pressure-velocity coupling, which is particularly desirable for the simulation of two-phase flows, given the discontinuous pressure jump resulting from surface tension and the potentially large density and viscosity ratios between the interacting fluids.…”

On the improved finite volume procedure for simulation of turbulent flows over real complex terrains

“…The coupled solution approach, e.g. [22,23], despite demonstrating better convergence has large memory requirements, therefore the segregated solution approach is used.…”