A diffuse-domain-based numerical method for a chemotaxis-fluid model
DOI10.1142/s0218202523500094zbMath1514.92002arXiv2209.08357OpenAlexW4313800227MaRDI QIDQ6102918
Zhen Zhang, Chenxi Wang, Alexander Kurganov, Shumo Cui, Alina E. Chertock
Publication date: 23 June 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.08357
Navier-Stokes equationschemotaxisfinite-difference methodbioconvectionfinite-volume methoddiffuse-domain approach
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biological fluid mechanics (76Z99) Computational methods for problems pertaining to biology (92-08) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
Cites Work
- Unnamed Item
- Unnamed Item
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- A diffuse-interface method for two-phase flows with soluble surfactants
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Analysis of the diffuse-domain method for solving PDEs in complex geometries
- Non-oscillatory central differencing for hyperbolic conservation laws
- A user's guide to PDE models for chemotaxis
- Solving PDEs in complex geometries: a diffuse domain approach
- The development of concentration gradients in a suspension of chemotactic bacteria
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Numerical study of plume patterns in a chemotaxis-diffusion-convection coupling system
- A level-set method for two-phase flows with soluble surfactant
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions
- Keller-Segel chemotaxis models: a review
- Analysis of reaction-diffusion models with the taxis mechanism
- The free surface effect on a chemotaxis-diffusion-convection coupling system
- Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
- Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations
- Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes
- On the interplay between behavioral dynamics and social interactions in human crowds
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface
- Strong Stability-Preserving High-Order Time Discretization Methods
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- Bacterial swimming and oxygen transport near contact lines
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Random walk with persistence and external bias
- Introduction to Perturbation Methods
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
- Front migration in the nonlinear Cahn-Hilliard equation
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- On the error estimates for the rotational pressure-correction projection methods
- Numerical analysis for a chemotaxis-Navier–Stokes system
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- A diffuse domain method for two-phase flows with large density ratio in complex geometries
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
- A continuum model of colloid-stabilized interfaces
- Bioconvection
- Spectral smoothed boundary methods: The role of external boundary conditions
- A phase-field model with convection: sharp-inerface asymptotics.
