The back and forth error compensation and correction (BFECC) method advects the solution
forward and then backward in time. The result is compared to the original data to estimate …

Liquid and gas interactions often produce bubbles that stay for a long time without bursting
on the surface, making a dry foam structure. Such long lasting bubbles simulated by the …

A finite element method is introduced to simulate surface tension dominated flow of two
immiscible fluids featuring an enriched space for capturing both strong and weak pressure …

Semi-Lagrangian methods have been around for some time, dating back at least to [3].
Researchers have worked to increase their accuracy, and these schemes have gained …

This paper studies the heat-release oscillation response of premixed flames to oscillations in
reactant stream fuel/air ratio. Prior analyses have studied this problem in the linear regime …

A partial differential equation based reinitialization method is presented in the framework of
a localized level set method. Two formulations of the new reinitialization scheme are …

Dynamic moving interfaces are central to many scientific, engineering, and graphics
applications. In this paper, we introduce a novel method for moving surface meshes, called …

Back and forth error compensation and correction (BFECC) was recently developed for
interface computation using a level set method. We show that BFECC can be applied to …

A second-order hybrid level set-volume constraint method (HLSVC) for numerically
simulating deforming boundaries is presented. We combine the HLSVC interface advection …

Combustion instability events in lean premixed combustion systems can cause spatio-
temporal variations in unburnt mixture fuel/air ratio. This provides a driving mechanism for …