High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy
From MaRDI portal
Publication:5857729
DOI10.1137/20M1332645zbMath1469.65138arXiv2004.05341OpenAlexW3134657963MaRDI QIDQ5857729
Serafim Kalliadasis, Sergio P. Perez, José Antonio Carrillo, Manuel J. Castro
Publication date: 7 April 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05341
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with statistical mechanics (35Q82) Computational density functional analysis in statistical mechanics (82M36)
Related Items (max. 100)
Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation ⋮ Flux globalization based well-balanced central-upwind schemes for hydrodynamic equations with general free energy ⋮ A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion ⋮ Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- High order exactly well-balanced numerical methods for shallow water systems
- Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
- A simple well-balanced and positive numerical scheme for the shallow-water system
- Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
- Global smooth ion dynamics in the Euler-Poisson system
- A new model for self-organized dynamics and its flocking behavior
- Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes
- Initiation of slime mold aggregation viewed as an instability
- From particle to kinetic and hydrodynamic descriptions of flocking
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- On the mathematics of emergence
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Upwind methods for hyperbolic conservation laws with source terms
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes
- Modeling language evolution
- Ground states in the diffusion-dominated regime
- A kinetic scheme for the Saint-Venant system with a source term
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis
- Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
- Well-balanced high-order finite volume methods for systems of balance laws
- A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
- A class of global solutions to the Euler-Poisson system
- Equilibria of homogeneous functionals in the fair-competition regime
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Critical thresholds in 1D Euler equations with non-local forces
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Asymptotic High Order Mass-Preserving Schemes for a Hyperbolic Model of Chemotaxis
- Explicit flock solutions for Quasi-Morse potentials
- From gas dynamics with large friction to gradient flows describing diffusion theories
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Particle, kinetic, and hydrodynamic models of swarming
- Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying processes
- WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Central WENO schemes for hyperbolic systems of conservation laws
- Total variation diminishing Runge-Kutta schemes
- Quasineutral limit of an euler-poisson system arising from plasma physics
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
- The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime
- Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
- On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy
- Singular Cucker–Smale Dynamics
- A Survey of High Order Schemes for the Shallow Water Equations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Emergent Behavior in Flocks
- Weak solutions for Euler systems with non-local interactions
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Approximation of Hyperbolic Models for Chemosensitive Movement
- Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws
This page was built for publication: High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy
