22 citations · 22 across the 5 of their papers we have counts for
5 papers
Implicit-explicit and split-explicit super-time-stepping methods
Daniel R. Reynolds, Sylvia Amihere, Mustafa Aggul
Multiphysics initial-value problems couple processes with distinct stability properties, such as advection, diffusion, and stiff local reactions. Standard implicit-explicit (ImEx)…
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
Steven B. Roberts, Mustafa Ağgül, Daniel R. Reynolds +3
SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements an…
Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction
Mustafa Aggul, Songül Kaya
A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometri…
Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Modeling
Mustafa Aggul
An alternative first step approximation based on subgrid artificial viscosity modeling (SAV) is proposed for defect-deferred correction method (DDC) for incompresible Navier-Stokes…
A projection based Variational Multiscale Method for Atmosphere-Ocean Interaction
Mustafa Aggul, Fatma G. Eroglu, Songül Kaya +1
The proposed method aims to approximate a solution of a fluid-fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows f…