A
Alexander Kurganov
Researcher at Southern University of Science and Technology
Publications - 146
Citations - 7180
Alexander Kurganov is an academic researcher from Southern University of Science and Technology. The author has contributed to research in topics: Upwind scheme & Shallow water equations. The author has an hindex of 33, co-authored 116 publications receiving 6021 citations. Previous affiliations of Alexander Kurganov include University of Michigan & University of Science and Technology of China.
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Journal ArticleDOI
Central-upwind scheme for shallow water equations with discontinuous bottom topography
TL;DR: In this article, the authors proposed a continuous piecewise linear interpolation of the bottom topography function to preserve the positivity of the computed water depth for shallow water equations, where the bottom function is discontinuous or a model with a moving bottom topology is studied.
Journal ArticleDOI
Pressure‐based adaption indicator for compressible euler equations
TL;DR: A new adaption indicator is developed, which is based on the weak local residual measured for the nonconservative pressure variable, that is capable of automatically detecting discontinuities and distinguishing between the shock and contact waves when they are isolated from each other.
Book ChapterDOI
A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
TL;DR: In this paper, a simple one-dimensional toy model for landslides-generated nonlinear water waves is proposed, where the landslide is modeled as a rigid bump translating down the side of the bottom while the water motion is modeled by the Saint-Venant system of shallow water equations.
Journal ArticleDOI
Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs: Applications to Compressible Euler Equations and Granular Hydrodynamics
TL;DR: The adaptive moving mesh central-upwind schemes outperform their uniform mesh counterparts and are applied to the one- and two-dimensional Euler equations of gas dynamics and granular hydrodynamics systems.
Journal ArticleDOI
A Fast Explicit Operator Splitting Method for Modified Buckley---Leverett Equations
TL;DR: A fast explicit operator splitting method to solve the modified Buckley–Leverett equations which include a third-order mixed derivatives term resulting from the dynamic effects in the pressure difference between the two phases, consistent with the study of traveling wave solutions and their bifurcation diagrams.