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Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 09/2019, Volume 35, Issue 5, pp. 1756 - 1776
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2016, Volume 40, Issue 2, pp. 1588 - 1598
Solutions of the combined advection–diffusion–reaction (ADR) transport equation are generally restricted to numerical methods. However, each subprocess,... 
Semi-lagrangian | Operator splitting | Advection | Diffusion | Reaction | Analytical
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2012, Volume 231, Issue 11, pp. 4028 - 4052
Journal Article
Water Resources Research, ISSN 0043-1397, 12/2009, Volume 45, Issue 12, p. n/a
This paper describes a one‐dimensional stream temperature model that is computationally efficient and highly scalable in both time and space. The model is... 
mathematical model | computational efficiency | energy budget | state space | semi‐Lagrangian | STREAM TEMPERATURE | ENVIRONMENTAL SCIENCES | DYNAMICS | CLIMATE-CHANGE | WATER RESOURCES | DATA ASSIMILATION | LIMNOLOGY | TRANSPORT MODEL | FLOW | FRASER
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2020, Volume 366, p. 124744
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 07/2019, Volume 78, Issue 2, pp. 611 - 622
In a previous article a characteristic discontinuous Galerkin (CDG) advection scheme was presented for tracer transport (Lee et al., 2016). The scheme is... 
Arbitrary Lagrangian Eulerian vertical coordinate | Discontinuous Galerkin | Advection equation | Unstructured grid | Semi Lagrangian | MATHEMATICS, APPLIED | LIMITER | Models | Tracers (Biology) | Analysis | Aerospace engineering | Ocean models | Advection | Continuity equation | Galerkin method | Fluxes | Transport | Flux corrected transport | Tracers | MATHEMATICS AND COMPUTING
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 17, pp. 6800 - 6823
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2011, Volume 230, Issue 4, pp. 863 - 889
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 4, pp. A2141 - A2161
We present a forward semi-Lagrangian numerical method for systems of transport equations able to advect smooth and discontinuous fields with high-order... 
CFD | Advection | Semi-Lagrangian | advection | MATHEMATICS, APPLIED | FORM | DISPERSION | MODEL | ALGORITHMS | SMOOTHED PARTICLE HYDRODYNAMICS | SHALLOW-WATER EQUATIONS | IN-CELL | INTERPOLATION | semi-Lagrangian | INTEGRATION SCHEME
Journal Article
by Qiu, JM and Shu, CW
JOURNAL OF COMPUTATIONAL PHYSICS, ISSN 0021-9991, 02/2011, Volume 230, Issue 4, pp. 863 - 889
In this paper, we propose a semi-Lagrangian finite difference formulation for approximating conservative form of advection equations with general variable... 
EFFICIENT IMPLEMENTATION | GALERKIN METHOD | Conservative scheme | ESSENTIALLY NONOSCILLATORY SCHEMES | PHYSICS, MATHEMATICAL | INTERPOLATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | VLASOV EQUATION | Advection in incompressible flow | SIMULATIONS | Semi-Lagrangian methods | WENO reconstruction
Journal Article
Chemical Engineering & Technology, ISSN 0930-7516, 01/2015, Volume 38, Issue 1, pp. 155 - 163
The level set method is combined with the concentration transformation method to solve the interphase mass transfer process. However, the artificial diffusion... 
Semi‐Lagrangian advection scheme | Level set method | Marangoni effect | Mass transfer | Semi-Lagrangian advection scheme | ENGINEERING, CHEMICAL | LEVEL SET APPROACH | INSTABILITY | MASS-TRANSFER | INTERFACIAL PHENOMENA | FLOW | DROP | Advection | Computer simulation | Interphase | Mathematical models | Diffusion | Convection
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2016, Volume 310, pp. 233 - 251
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2010, Volume 229, Issue 12, pp. 4683 - 4702
Journal Article
Quarterly Journal of the Royal Meteorological Society, ISSN 0035-9009, 01/2007, Volume 133, Issue 622, pp. 251 - 260
Journal Article
Monthly Weather Review, ISSN 0027-0644, 12/2006, Volume 134, Issue 12, pp. 3691 - 3713
A spherical 2D adaptive mesh refinement (AMR) technique is applied to the so-called Lin-Rood advection algorithm, which is built upon a conservative and... 
PARABOLIC METHOD PPM | MULTISCALE ENVIRONMENT MODEL | TEST SET | MESH REFINEMENT | ATMOSPHERIC FLOW | TRANSPORT SCHEME | SEMI-LAGRANGIAN ADVECTION | CONSERVATIVE DIFFERENCE SCHEME | SIMULATIONS | METEOROLOGY & ATMOSPHERIC SCIENCES | SHALLOW-WATER EQUATIONS | Design | Weather | Codes | Algorithms | Fluid dynamics | Dynamical systems | Meteorology | Adaptation
Journal Article
Ocean Modelling, ISSN 1463-5003, 05/2016, Volume 101, pp. 1 - 16
We present a flux-form semi-Lagrangian (FFSL) advection scheme designed for offline scalar transport simulation with coastal ocean models using curvilinear... 
Advection | Coastal ocean model | Transport | Tracer | Semi-Lagrangian | Mass conservation | SYSTEM | UPSTREAM | ALGORITHMS | FLOW | CONTINUITY | OCEANOGRAPHY | METEOROLOGY & ATMOSPHERIC SCIENCES | Tracers (Chemistry) | Analysis | Models | Atmospheric research | Tracers (Biology) | Reefs | Sediment transport | Ocean models | Computational fluid dynamics | Computer simulation | Fluid flow | Hydrodynamics | Coastal | Mathematical models
Journal Article