A boundary condition capturing method for incompressible flame discontinuities

By Duc Quang Nguyen, Ronald Fedkiw, Myung-joo Kang. 2001

183 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/89ef6bcce4929878cdc77a0362340ee8f801d610

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

Investigation of keyhole plume and molten pool based on a three-dimensional dynamic model with sharp interface formulation (2013, methodology): “For the case in figure 3, the velocity terms for the ghost cells are calculated by equations (19a) and (19b) [43],”
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains (2002, methodology): “This new numerical method was applied to two phase incompressible flow in [15] and to incompressible flame front discontinuities in [21].”
AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS (2003, methodology): “The GFM has been applied to multiphase incompressible flow [29], two phase incompressible flames simulations [59], and other applications.”
Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity (2002, methodology): “[34] performed similar computations of premixed flames using a level-set method for incompressible, inviscid flow that allows sharp discontinuities in fluid properties.”
Numerical simulation of nucleate boiling on a horizontal surface at high heat fluxes (2008, methodology): “For its efficient implementation, _ m is extrapolated into the entire domain (or a narrow band near the interface) by the calculation procedure developed in [13].”
Spatially adaptive techniques for level set methods and incompressible flow (2006, methodology): “Using the GFM, these level set algorithms have been extended to detonations and deflagrations [34], mixed compressible and incompressible flow [11], twophase incompressible flow [50, 54], low speed flames [65], Stefan problems for crystal growth [39, 38, 37], free surface flows [30], etc.”
A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface (2007, methodology): “The procedure discretizing the governing equations near the interface, which is not coincident with the grid points, is simplified by using the ghost fluid approach [14, 16].”
Ghost fluid method for strong shock impacting on material interface (2003, methodology): “To apply the GFM to a general discontinuity moving at a speed in the normal direction such as for a detonation discontinuity [14] or a flame front [24], appropriate Riemann problems in a node by node fashion have been constructed and solved by implicitly imposing the Rankine–Hugoniot jump conditions”
A sharp interface method for incompressible two-phase flows (2007, methodology): “Current methods for the ‘‘robust’’computation of immiscible two-phase flows [51,50,9,53,32,26,20,18] are all essentially spatially first-order accurate as the treatment of the interfacial jump conditions constrains the overall accuracy to first-order.”
A review of level-set methods and some recent applications (2018, methodology): “Finally, it has been applied to flame fronts propagating in incompressible flows [103], to multiphase flows [104], for which a GFM approach to solve the Poisson equation with jump in the solution and its gradient [105] was introduced, and to multiphase flows with phase change [106].”
A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change (2007, methodology): “[22] to propose a sharp interface capturing method for the direct numerical simulation of multiphase incompressible flows with phase change.”