7 articles
Discontinuous Galerkin method
The discontinuous Galerkin (DG) method is a finite element method for numerically solving partial differential equations, using discontinuous polynomials coupled through numerical fluxes at element boundaries.
Essentially non-oscillatory scheme
An essentially non-oscillatory (ENO) scheme is a high-order numerical method for hyperbolic partial differential equations that avoids spurious oscillations near shocks via adaptive stencil selection.
Flux reconstruction
Flux reconstruction, also called CPR, is a high-order numerical method for solving conservation laws such as the compressible Navier-Stokes equations on unstructured grids, unifying DG, SV, and SD schemes.
Hybridizable discontinuous Galerkin method
The hybridizable discontinuous Galerkin (HDG) method is a discontinuous Galerkin finite element method for partial differential equations, reported by Cockburn, Gopalakrishnan, and Lazarov in 2009.
Non-oscillatory scheme
A non-oscillatory scheme is a numerical method for hyperbolic partial differential equations that suppresses spurious oscillations near shocks and discontinuities while keeping high-order accuracy in smooth regions.
Shock-capturing scheme
A shock-capturing scheme is a numerical method for hyperbolic conservation laws that resolves shock waves and other discontinuities automatically, smearing them over grid cells instead of tracking the front explicitly.
WENO scheme
A WENO (weighted essentially non-oscillatory) scheme is a high-order finite-difference or finite-volume method for equations with shocks, first introduced in 1994 and widely used in computational fluid dynamics.