Concepedia

Free and Moving Boundary Problems.

Mathematics of Computation · 1986 · 2.2K citations · 33 references

Concepts

Natural SciencesComputational EngineeringComputational MechanicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsMoving Boundary ProblemsNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsAnalytical SolutionsAnalytical Solutions For Boundary LayersBoundary Value Problem SolversFree-boundary ProblemsMoving Boundary ConditionsNonlinear Boundary-value ProblemsNumerical Solutions Of Partial Differential Equations

Abstract

1. Moving boundary problems: formulation 2. Free boundary problems: formulation 3. Analytical solutions 4. Front-tracking methods 5. Front-fixing methods 6. Fixed-domain methods 7. Analytical solution of seepage problems 8. Numerical solution of free boundary problems References Author index Subject index

References

33

Volume of fluid (VOF) method for the dynamics of free boundaries

C.W. Hirt, B.D. Nichols · Journal of Computational Physics · 1981 · 15.7K citations

Engineering, Computational Engineering, Mechanical Engineering +11

Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface

Francis H. Harlow, J. Eddie Welch · The Physics of Fluids · 1965 · 5.9K citations

Natural Sciences, Computational Engineering, Mechanical Engineering +17

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow

Mark Sussman, Peter Smereka, Stanley Osher · Journal of Computational Physics · 1994 · 4.7K citations

Natural Sciences, Mechanical Engineering, Physics +10

DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW

Ruben Scardovelli, Stéphane Zaleski · Annual Review of Fluid Mechanics · 1999 · 2K citations

Engineering, Computational Engineering, Physics +14

Reconstructing Volume Tracking

William J. Rider, Douglas B. Kothe · Journal of Computational Physics · 1998 · 1.6K citations