A multiscale Eulerian–Lagrangian localized adjoint method for transient advection–diffusion equations with oscillatory coefficients
نویسندگان
چکیده
We develop a multiscale Eulerian–Lagrangian localized adjoint method for transient linear advection– diffusion equations with oscillatory coefficients, which arise in mathematical models for describing flow and transport through heterogeneous porous media, composite material design, and other applications.
منابع مشابه
An Eulerian-lagrangian Localized Adjoint Method for Two-dimensional Advection-diffusion Equations and Its Comparison to Other Schemes
We develop an ELLAM (Eulerian-Lagrangian localized adjoint method) scheme to solve two-dimensional advection-diiusion equations with all combinations of innow and outtow Dirichlet, Neumann, and ux boundary conditions. The ELLAM formalism provides a systematic framework for implementation of general boundary conditions, leading to mass-conservative numerical schemes. The computational advantages...
متن کاملAn ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions
We develop an Eulerian–Lagrangian localized adjoint method (ELLAM) to solve two-dimensional advection-diffusion equations with all combinations of inflow and outflow Dirichlet, Neumann, and flux boundary conditions. The ELLAM formalism provides a systematic framework for implementation of general boundary conditions, leading to mass-conservative numerical schemes. The computational advantages o...
متن کاملELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows
We combine the finite element method with the Eulerian–Lagrangian Localized Adjoint Method (ELLAM) to solve the convection–diffusion equations that describe the kinematics of magnetohydrodynamic flows, i.e., the advection and diffusion of a magnetic field. Simulations of three two-dimensional test problems are presented and in each case we analyze the energy of the magnetic field as it evolves ...
متن کاملA Family of Eulerian-Lagrangian Localized Adjoint Methods for Multi-Dimensional Advection-Reaction Equations
We develop a family of Eulerian-Lagrangian localized adjoint methods for the solution of the initial-boundary value problems for rst-order advection-reaction equations on general multi-dimensional domains. Diierent tracking algorithms, including the Euler and Runge-Kutta algorithms, are used. The derived schemes naturally incorporate innow boundary conditions into their formulations and do not ...
متن کاملConservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
In this paper, we propose a semi-Lagrangian finite difference formulation for approximating conservative form of advection equations with general variable coefficients. Compared with the traditional semi-Lagrangian finite difference schemes [4, 21], which approximate the advective form of the equation via direct characteristics tracing, the scheme proposed in this paper approximates the conserv...
متن کامل