8 citations · 15 across the 5 of their papers we have counts for
5 papers
Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows
Sergii Kivva
First-order hydrostatic reconstruction (HR) schemes for shallow water equations are highly diffusive whereas high-order schemes can produce entropy-violating solutions. Our goal is…
Flux correction for nonconservative convection-diffusion equation
Sergii Kivva
Our goal is to develop a flux limiter of the Flux-Corrected Transport method for a nonconservative convection-diffusion equation. For this, we consider a hybrid difference scheme t…
Flux-corrected transport for scalar hyperbolic conservation laws and convection-diffusion equations by using linear programming
Sergii Kivva
Flux-corrected transport (FCT) is one of the flux limiter methods. Unlike the total variation diminishing methods, obtaining the known FCT formulas for computing flux limiters is n…
Entropy stable flux correction for scalar hyperbolic conservation laws
Sergii Kivva
It is known that Flux Corrected Transport algorithms can produce entropy-violating solutions of hyperbolic conservation laws. Our purpose is to design flux correction with maximal…
A central-upwind scheme for open water flow in a wet/dry multiply-connected channel network
Sergii Kivva, Mark Zheleznyak, Alexander Pilipenko +1
Our goal was to develop a robust algorithm for numerical simulation of one-dimensional shallow-water flow in a complex multiply-connected channel network with arbitrary geometry an…