Works (10)

Updated: May 9th, 2023 12:52

2022 journal article

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

JOURNAL OF SCIENTIFIC COMPUTING, 90(1).

By: A. Chertock, A. Kurganov, X. Liu*, Y. Liu* & T. Wu

author keywords: Flux globalization; Central-upwind schemes; Well-balanced schemes; "Lake-at-rest" steady states; "Dry lake" steady states
Sources: Web Of Science, ORCID
Added: November 29, 2021

2021 journal article

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

JOURNAL OF SCIENTIFIC COMPUTING, 89(2).

By: A. Chertock, S. Chu* & A. Kurganov

author keywords: Path-conservative scheme; Central-upwind scheme; Compressible multifluids; Pressure evolution model
Sources: Web Of Science, ORCID
Added: October 26, 2021

2020 journal article

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 27(2), 480–502.

By: A. Chertock, A. Kurganov & Y. Liu

author keywords: Two-component Camassa-Holm system; finite-volume method; deterministic particle method; finite-volume-particle method; central-upwind scheme
Sources: Web Of Science, ORCID
Added: December 30, 2019

2019 journal article

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

JOURNAL OF SCIENTIFIC COMPUTING, 80(1), 538–554.

By: Y. Cheng*, A. Chertock, M. Herty*, A. Kurganov & T. Wu

author keywords: Shallow water equations; Central-upwind scheme; Well-balanced method; Steady-state solutions (equilibria); Moving-water and still-water equilibria
Sources: Web Of Science, ORCID
Added: June 17, 2019

2019 journal article

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Computers & Mathematics with Applications, 77(12), 3172–3185.

By: A. Chertock, A. Kurganov, M. Ricchiuto & T. Wu

author keywords: Two-species chemotaxis system; Adaptive moving mesh (AMM) method; Finite-volume upwind method; Singular (spiky) solutions
Sources: Web Of Science, Crossref, ORCID
Added: July 1, 2019

2019 journal article

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

JOURNAL OF COMPUTATIONAL PHYSICS, 391, 259–279.

By: X. Liu*, A. Chertock & A. Kurganov

author keywords: Saint-Venant system of shallow water equations; Coriolis forces; Asymptotic preserving scheme; Central-upwind scheme; Flux splitting; Implicit-explicit approach
Sources: Web Of Science, ORCID
Added: June 17, 2019

2019 article

High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

ACTIVE PARTICLES, VOL 2: ADVANCES IN THEORY, MODELS, AND APPLICATIONS, pp. 109–148.

By: A. Chertock & A. Kurganov

Sources: Web Of Science, ORCID
Added: March 30, 2020

2013 journal article

Three-Layer Approximation of Two-Layer Shallow Water Equations

MATHEMATICAL MODELLING AND ANALYSIS, 18(5), 675–693.

By: A. Chertock, A. Kurganov, Z. Qu* & T. Wu*

author keywords: two-layer shallow water equations; central-upwind scheme; well-balanced scheme; conditional hyperbolicity
Sources: Web Of Science, ORCID
Added: August 6, 2018

2011 chapter

Central-upwind schemes for Boussinesq paradigm equations

In Computational science and high performance computing IV (Vol. 115, pp. 267–281).

By: A. Chertock, C. Christov* & A. Kurganov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 conference paper

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

Communications in Computational Physics, 5(2-4), 565–581.

By: A. Chertock & A. Kurganov

Source: NC State University Libraries
Added: August 6, 2018