New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
Diffuse-Interface Methods in Fluid Mechanics
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 4roles
background 1polarities
background 1representative citing papers
A free-energy lattice Boltzmann scheme for N immiscible components that enforces reduction consistency via mobility-independent flux correction and achieves machine-precision global momentum conservation through a new surface-tension discretization.
A sharp-interface VOF method for phase-change simulations on unstructured meshes computes evaporation rates from local temperature gradients at geometrically reconstructed interfaces and validates against analytical solutions on Stefan, Sucking, and Scriven problems.
New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.
citing papers explorer
-
Diffuse Domain Methods with Dirichlet Boundary Conditions
New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
-
N-Component Free Energy Lattice Boltzmann Method with Reduction Consistency and Global Momentum Conservation
A free-energy lattice Boltzmann scheme for N immiscible components that enforces reduction consistency via mobility-independent flux correction and achieves machine-precision global momentum conservation through a new surface-tension discretization.
-
Sharp-interface VOF method for phase-change simulations on unstructured meshes
A sharp-interface VOF method for phase-change simulations on unstructured meshes computes evaporation rates from local temperature gradients at geometrically reconstructed interfaces and validates against analytical solutions on Stefan, Sucking, and Scriven problems.
-
Energetic Spectral-Element Time Marching Methods for Phase-Field Nonlinear Gradient Systems
New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.