Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Uniformly high-order accurate nonoscillatory schemes
SIAM Journal on Numerical Analysis
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
A characteristics-mixed finite element method for advection-dominated transport problems
SIAM Journal on Numerical Analysis
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A technique of treating negative weights in WENO schemes
Journal of Computational Physics
Journal of Computational Physics
A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
SIAM Journal on Scientific Computing
Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models
SIAM Journal on Scientific Computing
A conservative high order semi-Lagrangian WENO method for the Vlasov equation
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A two-continua approach to Eulerian simulation of water spray
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws
Journal of Computational Physics
Hi-index | 31.45 |
We develop a locally conservative Eulerian-Lagrangian finite volume scheme with the weighted essentially non-oscillatory property (EL-WENO) in one-space dimension. This method has the advantages of both WENO and Eulerian-Lagrangian schemes. It is formally high-order accurate in space (we present the fifth order version) and essentially non-oscillatory. Moreover, it is free of a CFL time step stability restriction and has small time truncation error. The scheme requires a new integral-based WENO reconstruction to handle trace-back integration. A Strang splitting algorithm is presented for higher-dimensional problems, using both the new integral-based and pointwise-based WENO reconstructions. We show formally that it maintains the fifth order accuracy. It is also locally mass conservative. Numerical results are provided to illustrate the performance of the scheme and verify its formal accuracy.