Implicit-explicit-compact methods for advection diffusion reaction equations

DOI10.1016/j.compfluid.2020.104709zbMath1502.65073arXiv1912.10023OpenAlexW3082699398MaRDI QIDQ2664068

Yanyan Li

Publication date: 20 April 2021

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10023

zbMATH Keywords

error dynamicscompact difference schemesPatlak-Keller-Segel modelIMEX time integrationdispersion relation preservation (DRP) schemes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems ⋮ Spatiotemporal linear stability of viscoelastic subdiffusive channel flows: a fractional calculus framework

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ion mediated crosslink driven mucous swelling kinetics
• Surface deformation and shear flow in ligand mediated cell adhesion
• Error dynamics of diffusion equation: effects of numerical diffusion and dispersive diffusion
• Spurious waves in discrete computation of wave phenomena and flow problems
• High accuracy compact schemes and Gibbs' phenomenon
• High accuracy schemes for DNS and acoustics
• Biaxial phases of bent-core liquid crystal polymers in shear flows
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties
• Optimal time advancing dispersion relation preserving schemes
• A new combined stable and dispersion relation preserving compact scheme for non-periodic problems
• Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
• Compact finite difference schemes with spectral-like resolution
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Analysis of central and upwind compact schemes.
• Spectral analysis of finite difference schemes for convection diffusion equation
• Global spectral analysis of three-time level integration schemes: focusing phenomenon
• High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
• A positivity-preserving finite element method for chemotaxis problems in 3D
• Global spectral analysis for convection-diffusion-reaction equation in one and two-dimensions: effects of numerical anti-diffusion and dispersion
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• Determining equilibrium osmolarity in poly(ethylene glycol)/chondrotin sulfate gels mimicking articular cartilage
• Impact of flow on ligand-mediated bacterial flocculation
• Error dynamics: Beyond von Neumann analysis
• High Accuracy Computing Methods
• Random walk with persistence and external bias
• Sticky surface: sphere–sphere adhesion dynamics
• Implicit-Explicit Variational Integration of Highly Oscillatory Problems
• Generating exact solutions of the two-dimensional Burgers' equations
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
• Convergent Cartesian grid methods for Maxwell's equations in complex geometries.

This page was built for publication: Implicit-explicit-compact methods for advection diffusion reaction equations