8 papers
A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations
Alina Chertock, Smadar Karni, Alexander Kurganov +1
The paper focuses on the development of numerical methods for the compressible Euler equations. It is well-known that if the Mach number is small, the system becomes stiff and henc…
An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations
Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi +1
We propose a new second-order asymptotic-preserving (AP) dual formulation finite-volume (DF-FV) method for the thermal rotating shallow water (TRSW) equations. The TRSW system mode…
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
Alina Chertock, Qingcheng Fu, Alexander Kurganov +1
In this paper, we propose an adaptive high-order method for hyperbolic systems of conservation laws. The proposed method is based on a dual formulation approach: Two numerical solu…
Dual Formulation Finite-Volume Methods on Overlapping Meshes for Hyperbolic Conservation Laws
Rémi Abgrall, Alina Chertock, Alexander Kurganov +1
In this work, we introduce new second-order schemes for one- and two-dimensional hyperbolic systems of conservation laws. Following an approach recently proposed in [{\sc R. Abgral…
Numerical Study of Random Kelvin-Helmholtz Instability
Alina Chertock, Michael Herty, Arsen S. Iskhakov +3
In this paper, we study random dissipative weak solutions of the compressible Euler equations in the Kelvin-Helmholtz (KH) instability. Motivated by the fact that weak entropy solu…
Uncertainty Quantification in Forward Problems: Balancing Accuracy and Robustness Using CWENO Interpolations
Alina Chertock, Arsen S. Iskhakov, Alexander Kurganov
In this paper, we study uncertainty quantification (UQ) in forward problems. Our objective is to construct accurate and robust surrogate models by incorporating the seventh-order c…