High order multi-dimensional characteristics tracing for the incompressible Euler equation and the guiding-center Vlasov equation

DOI10.1007/s10915-018-0705-yzbMath1407.65134OpenAlexW2797330762MaRDI QIDQ1632257

Jing-Mei Qiu, Tao Xiong, Giovanni Russo

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0705-y

zbMATH Keywords

semi-Lagrangianincompressible Euler equationvorticity stream function formulationcharacteristics tracingfinite difference WENOguiding-center Vlasov equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Euler equations (35Q31)

Related Items (10)

Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations ⋮ An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics ⋮ Unnamed Item ⋮ A conservative semi-Lagrangian finite difference WENO scheme based on exponential integrator for one-dimensional scalar nonlinear hyperbolic equations ⋮ Solving hyperbolic-elliptic problems on singular mapped disk-like domains with the method of characteristics and spline finite elements ⋮ A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting ⋮ Conservative multi-dimensional semi-Lagrangian finite difference scheme: stability and applications to the kinetic and fluid simulations ⋮ Mini-workshop: Innovative trends in the numerical analysis and simulation of kinetic equations. Abstracts from the mini-workshop held December 16--22, 2018 ⋮ On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs ⋮ High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

Cites Work

• High order semi-Lagrangian methods for the incompressible Navier-Stokes equations
• Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
• A deterministic vortex method for the Navier--Stokes equations
• An Eulerian code for the study of the drift-kinetic Vlasov equation
• Desingularization of periodic vortex sheet roll-up
• Vortex methods for flow simulation
• Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Fast triangulated vortex methods for the 2D Euler equations
• Vorticity boundary conditions for Navier-Stokes equations
• High order finite difference methods for unsteady incompressible flows in multi-connected domains.
• A high-order discontinuous Galerkin method for 2D incompressible flows
• An \(h\)-adaptive RKDG method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model
• A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
• A high order multi-dimensional characteristic tracing strategy for the Vlasov-Poisson system
• Vorticity boundary condition and related isssues for finite difference schemes
• Essentially compact schemes for unsteady viscous incompressible flows
• Conservative semi-Lagrangian schemes for Vlasov equations
• A fully semi-Lagrangian discretization for the 2D incompressible Navier-Stokes equations in the vorticity-streamfunction formulation
• Natural vorticity boundary conditions on solid walls
• Vortex Methods
• A two-level implicit scheme for the numerical solution of the linearized vorticity equation
• Merging Computational Elements in Vortex Simulations
• Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
• A semi-Lagrangian high-order method for Navier-Stokes equations

This page was built for publication: High order multi-dimensional characteristics tracing for the incompressible Euler equation and the guiding-center Vlasov equation