We present a higher-order in-space characteristic method for the solution of the tran- sient advection diffusion equations in two space dimensions. This method uses biquadratic trial and test functions within the fram...We present a higher-order in-space characteristic method for the solution of the tran- sient advection diffusion equations in two space dimensions. This method uses biquadratic trial and test functions within the framework of the Eulerian-Lagrangian localized Adjoint Methods （ELLAM）. It therefore maintains the advantages of previous ELLAM schemes. Namely, it treats general boundary conditions naturally in a systematic manner, conserves mass, and symmetrizes the governing transport equations. Moreover, it generates accurate numerical solutions even if large time steps are used in the simulation. Numerical exper- iments are presented to illustrate the performance of this method and establish its order of convergence numerically.展开更多
文摘We present a higher-order in-space characteristic method for the solution of the tran- sient advection diffusion equations in two space dimensions. This method uses biquadratic trial and test functions within the framework of the Eulerian-Lagrangian localized Adjoint Methods （ELLAM）. It therefore maintains the advantages of previous ELLAM schemes. Namely, it treats general boundary conditions naturally in a systematic manner, conserves mass, and symmetrizes the governing transport equations. Moreover, it generates accurate numerical solutions even if large time steps are used in the simulation. Numerical exper- iments are presented to illustrate the performance of this method and establish its order of convergence numerically.
