Concepedia

Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier–Stokes–Cahn–Hilliard system: Primitive variable and projection-type schemes

Zhenlin Guo, Ping Lin, John Lowengrub, Steven M. Wise

Computer Methods in Applied Mechanics and Engineering · 2017 · 95 citations · 46 references

Open access

Concepts

EngineeringMechanical EngineeringPhysicsComputational Fluid DynamicsComputational MechanicsFluid DynamicsConvergence AnalysisFinite Difference MethodsNavier-stokes EquationsNumerical ConvergenceCahn-hilliard ModelingFinite Difference DiscretizationFinite Difference SchemesHigh-order SchemesMass Conservation SchemesStability Of Finite Difference Schemes

References

46

Free Energy of a Nonuniform System. I. Interfacial Free Energy

John W. Cahn, J. E. Hilliard · The Journal of Chemical Physics · 1958 · 10.3K citations

Natural Sciences, Chemistry, Physics +17

Theory of dynamic critical phenomena

P. C. Hohenberg, Bertrand I. Halperin · Reviews of Modern Physics · 1977 · 6.9K citations

Natural Sciences, Physics, Condensed Matter Physics +14

DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

Daniel Anderson, G. B. McFadden, A. A. Wheeler · Annual Review of Fluid Mechanics · 1998 · 2.1K citations · Full text

Engineering, Mechanical Engineering, Computational Fluid Dynamics +16

A diffuse-interface method for simulating two-phase flows of complex fluids

Pengtao Yue, James J. Feng, Chun Liu et al. · Journal of Fluid Mechanics · 2004 · 1K citations

Engineering, Materials Engineering, Materials Science +17

Quasi–incompressible Cahn–Hilliard fluids and topological transitions

John Lowengrub, Lev Truskinovsky · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 1998 · 926 citations

Engineering, Physics, Fluid Dynamics +16