Works (13)
Updated: August 24th, 2024 05:00
2024 journal article
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD
JOURNAL OF COMPUTATIONAL PHYSICS, 518.
author keywords: Rotating shallow water; magnetohydrodynamics; Divergence-free constraints; Nonconservative hyperbolic systems of; nonlinear PDEs; Path-conservative central-upwind scheme; Flux globalization based well-balanced scheme
Sources: Web Of Science, NC State University Libraries
Added: August 19, 2024
2024 article
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties
Chertock, A., Herty, M., Iskhakov, A. S., Janajra, S., Kurganov, A., & Lukacova-Medvid'ova, M. (2024, June 4). COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 6.
author keywords: Hyperbolic conservation and balance laws with uncertainties; Finite-volume methods; Central-upwind schemes; Weighted essentially non-oscillatory (WENO) interpolations
Sources: Web Of Science, NC State University Libraries
Added: June 17, 2024
2023 journal article
Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 13(3), 576–609.
author keywords: Local smoothness indicator; scheme adaption; strong stability preserving Runge-Kutta methods; hyperbolic systems of conservation laws; A-WENO schemes
Sources: Web Of Science, NC State University Libraries
Added: July 24, 2023
2021 journal article
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme
JOURNAL OF SCIENTIFIC COMPUTING, 89(2).
author keywords: Path-conservative scheme; Central-upwind scheme; Compressible multifluids; Pressure evolution model
Sources: Web Of Science, NC State University Libraries
Added: October 26, 2021
2021 journal article
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
JOURNAL OF SCIENTIFIC COMPUTING, 90(1).
author keywords: Flux globalization; Central-upwind schemes; Well-balanced schemes; "Lake-at-rest" steady states; "Dry lake" steady states
Sources: Web Of Science, NC State University Libraries
Added: November 29, 2021
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.
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, NC State University Libraries
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.
author keywords: Two-species chemotaxis system; Adaptive moving mesh (AMM) method; Finite-volume upwind method; Singular (spiky) solutions
TL;DR:
An adaptive moving mesh (AMM) finite-volume semi-discrete upwind method for the two-species chemotaxis system and an alternative approach relying on mesh adaptation, which helps to improve the approximation of the singular structures evolved bychemotaxis models are considered.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
15. Life on Land
(OpenAlex)
Sources: Web Of Science, Crossref, ORCID, NC State University Libraries
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.
author keywords: Saint-Venant system of shallow water equations; Coriolis forces; Asymptotic preserving scheme; Central-upwind scheme; Flux splitting; Implicit-explicit approach
TL;DR:
Numerical experiments demonstrate that the developed AP scheme achieves the theoretical second-order rate of convergence and the time-step stability restriction is independent of the Froude number, which makes the proposed AP scheme an efficient and robust alternative to fully explicit numerical methods.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: June 17, 2019
2019 journal article
Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 27(2), 480–502.
author keywords: Two-component Camassa-Holm system; finite-volume method; deterministic particle method; finite-volume-particle method; central-upwind scheme
Sources: Web Of Science, NC State University Libraries
Added: December 30, 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.
TL;DR:
Many microorganisms exhibit a special pattern formation at the presence of a chemoattractant, food, light, or areas with high oxygen concentration, so a multiscale chemotaxis models can be used to describe collective cell movement.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: March 30, 2020
2013 journal article
Three-Layer Approximation of Two-Layer Shallow Water Equations
MATHEMATICAL MODELLING AND ANALYSIS, 18(5), 675–693.
author keywords: two-layer shallow water equations; central-upwind scheme; well-balanced scheme; conditional hyperbolicity
open access via journals.vgtu.lt (publisher PDF)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
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).
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Sources: NC State University Libraries, ORCID, NC State University Libraries
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.
Source: NC State University Libraries
Added: August 6, 2018
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