Publications

Results 3901–3925 of 9,998

Search results

Jump to search filters

A Lagrangian particle method with remeshing for tracer transport on the sphere

Journal of Computational Physics

Bosler, Peter A.; Kent, James; Krasny, Robert; Jablonowski, Christiane

A Lagrangian particle method (called LPM) based on the flow map is presented for tracer transport on the sphere. The particles carry tracer values and are located at the centers and vertices of triangular Lagrangian panels. Remeshing is applied to control particle disorder and two schemes are compared, one using direct tracer interpolation and another using inverse flow map interpolation with sampling of the initial tracer density. Test cases include a moving-vortices flow and reversing-deformational flow with both zero and nonzero divergence, as well as smooth and discontinuous tracers. We examine the accuracy of the computed tracer density and tracer integral, and preservation of nonlinear correlation in a pair of tracers. We compare results obtained using LPM and the Lin–Rood finite-volume scheme. An adaptive particle/panel refinement scheme is demonstrated.

More Details

A posteriori error estimation for multi-stage Runge–Kutta IMEX schemes

Applied Numerical Mathematics

Chaudhry, Jehanzeb H.; Collins, J.B.; Shadid, John N.

Implicit–Explicit (IMEX) schemes are widely used for time integration methods for approximating solutions to a large class of problems. In this work, we develop accurate a posteriori error estimates of a quantity-of-interest for approximations obtained from multi-stage IMEX schemes. This is done by first defining a finite element method that is nodally equivalent to an IMEX scheme, then using typical methods for adjoint-based error estimation. The use of a nodally equivalent finite element method allows a decomposition of the error into multiple components, each describing the effect of a different portion of the method on the total error in a quantity-of-interest.

More Details
Results 3901–3925 of 9,998
Results 3901–3925 of 9,998
Top