Discretization of nonlinear convection processes: A broad-range comparison of four schemes
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Summary
The ‘quadratic-upwind’ approximation emerged as the most satisfactory of the discretizations investigated and was also found to give more accurate results than standard upwind differencing.
- Type
- article
- Published
- 1985-02-01
- Cited by
- 88
- References
- 15
- OpenAlex
- https://openalex.org/W1985075441
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:119460546
Keywords
Upwind scheme, Discretization, Quadratic equation, Mathematics, Applied mathematics
References
- Heat and Mass Transfer in Recirculating Flows
- IMPROVED FINITE-DIFFERENCE METHODS BASED ON A CRITICAL EVALUATION OF THE APPROXIMATION ERRORS
- Practical evaluation of three finite difference schemes for the computation of steady-state recirculating flows
- Convergence and accuracy of three finite difference schemes for a two‐dimensional conduction and convection problem
- A novel finite difference formulation for differential expressions involving both first and second derivatives
- A comparison of hybrid and quadratic-upstream differencing in high Reynolds number elliptic flows
- A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
- Driven cavity flows by efficient numerical techniques
- The Method of the False Transient for the Solution of Coupled Elliptic Equations
- Skew upstream differencing schemes for problems involving fluid flow
- Calculation of Annular and Twin Parallel Jets Using Various Discretization Schemes and Turbulence-Model Variations
- An Eulerian differencing method for unsteady compressible flow problems
- Laminar and turbulent forced convection processes through in-line tube banks
- Some observations on the numerical calculation of the recirculation region of twin parallel symmetric jet flow
- A stable and accurate convective modeling procedure based on quadratic upstream interpolation
Cited by
- An Upwind Nodal Integral Method for Incompressible Fluid Flow
- An investigation of the airflow in mushroom growing structures, the development of an improved, three-dimensional solution technique for fluid flow and its evaluation for the modelling of mushroom growing structures
- Numerical Computation Of Forest Fires
- ULTRA-SHARP Nonoscillatory Convection Schemes for High-Speed Steady Multidimensional Flow
- Application of computational fluid dynamics to the analysis of inlet port design in internal combustion engines
- Numerical modelling of compound channel flow
- Diffusion-dispersion en milieu poreux : étude numérique du tenseur de dispersion pour quelques arrangements périodiques bidimensionnels ordonnés et désordonnés
- SHARP Simulation of Discontinuities in Highly Convective Steady Flow
- Thermal and solutal convection with conduction effects inside a rectangular enclosure
- A cost-effective strategy for nonoscillatory convection without clipping
- Mesh Refinement in a Two-Dimensional Large Eddy Simulation of a Forced Shear Layer
- Numerical investigation of bifurcation phenomena occurring in flows through planar sudden expansions
- On the computational efficiency of certain upwinding schemes
- Numerical simulation of microgravity flame spread over solid combustibles
- ON THE USE OF SOME WEIGHTED UPWIND SCHEMES FOR STRONGLY CONVECTIVE FLOWS
- Numerical investigation of large wave interactions on free falling films
- SOME IMPLEMENTATIONAL ISSUES OF CONVECTION SCHEMES FOR FINITE-VOLUME FORMULATIONS
- Numerische Berechnung turbulenter brennernaher Drallströmungen
- On the higher-order bounded discretization schemes for finite volume computations of incompressible flows
- Finite element analysis of the viscous flow in a vaned radial diffuser
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