A third order, implicit, finite volume, adaptive Runge–Kutta WENO scheme for advection–diffusion equations

Todd Arbogast, Chieh‐Sen Huang, Xikai Zhao, Danielle N. King

2020Computer Methods in Applied Mechanics and Engineering24 citationsDOI

Topics & Concepts

Runge–Kutta methodsDiscretizationMathematicsFinite volume methodScalar (mathematics)Conservation lawApplied mathematicsDiscontinuity (linguistics)Euler equationsBackward Euler methodSmoothnessCourant–Friedrichs–Lewy conditionOrder of accuracyWeightingMathematical analysisTotal variation diminishingNumerical analysisNumerical stabilityGeometryPhysicsMechanicsAcousticsComputational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsGas Dynamics and Kinetic Theory