A hyperbolic theory for advection-diffusion problems: mathematical foundations and numerical modeling
From MaRDI portal
Publication:358472
DOI10.1007/s11831-010-9042-5zbMath1269.76116OpenAlexW2092756052WikidataQ113323922 ScholiaQ113323922MaRDI QIDQ358472
Ignasi Colominas, José París, Fermín Navarrina, Manuel Casteleiro, Héctor J. Gómez
Publication date: 9 August 2013
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11831-010-9042-5
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection, A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics, Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver, A hyperbolic model for viscous Newtonian flows, Isogeometric collocation using analysis-suitable T-splines of arbitrary degree, Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source, Solving a one-dimensional moving boundary problem based on wave digital principles, Numerical simulation on hyperbolic diffusion equations using modified cubic B-spline differential quadrature methods, Computational treatment of interface dynamics via phase-field modeling
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- On the non-linear Maxwell-Cattaneo equation with non-constant diffusivity: Shock and discontinuity waves
- Relativistic heat conduction
- Application of the time discontinuous Galerkin finite element method to heat wave simulation
- On the solution of damped wave conduction and relaxation equation in a semi-infinite medium subject to constant wall flux
- A finite element formulation for a convection-diffusion equation based on Cattaneo's law
- An analysis of time discretization in the finite element solution of hyperbolic problems
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- An introduction to finite element methods for transient advection problems
- Numerical analysis for hyperbolic heat conduction
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
- Numerical analysis of wave-type heat transfer propagating in a thin foil irradiated by short-pulsed laser.
- Application of a new finite integral transform method to the wave model of conduction
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Boundary element formulation for the analysis of transferred potentials in electrical installations
- A general theory of heat conduction with finite wave speeds
- Self-similar solutions of the second kind in the problem of propagation of intense shock waves
- Efficient unstructured quadrilateral mesh generation
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- A Taylor-Galerkin method for convective transport problems
- A discontinuous Galerkin method for a hyperbolic model for convection–diffusion problems in CFD
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- The generalized Cattaneo equation for the description of anomalous transport processes
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Finite Volume Methods for Hyperbolic Problems
- Performance of Discontinuous Galerkin Methods for Elliptic PDEs
- Stability analysis of the forward Euler scheme for the convection‐diffusion equation using the SUPG formulation in space
- Heat waves
- DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- Geometric multigrid with applications to computational fluid dynamics
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
