Approximation Schemes for convective term - structured grids - Schemes

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Revision as of 19:08, 19 October 2005

When we shall fill this page, I offer to make common identifications, because in different issues was used different notation.

Also we beg everybody to help me with original works. Later I shall write, what is necessary. If anyone have literature connected with convective schemes, please drop me a line.

We shall be very glad and grateful to hear any critical suggestion (please drop a few lines at Wiki Forum)

It is just a skeleton, but we hope that it will be developed into the good thing

Basic Discretisation schemes

• Central Differencing Scheme (CDS)
• Upwind Differencing Scheme (UDS) also (First-order upwind - FOU)
• Hybrid Differencing Scheme (HDS also HYBRID)
• Power-Law Scheme (also Exponencial scheme or PLDS )

Linear Schemes - structured grids

• SOU - Second Order Upwind (also LUDS or UDS-2)
• Skew - Upwind
• QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS)
• LUS - Linear Upwind Scheme
• Fromm - Fromm's Upwind Scheme
• CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4)
• CUI - Cubic Upwind Interpolation

Non-Linear QUICK based Schemes - structured grids

• QUICKER - Quadratic Upwind Interpolation Extended and Revised
• SMART - Sharp and Monotonic Algorithm for Realistic Transport
• SMARTER - SMART Efficiently Revised
• WACEB
• VONOS - Variable-Order Non-Oscillatory Scheme
• CHARM - Cubic / Parabolic High-Accuracy Resolution Method
• UMIST - Upstream Monotonic Interpolation for Scalar Transport

Fromm based Schemes - structured grids

• Fromm scheme
• MUSCL - Monotonic Upwind Scheme for Conservation Laws
• van Leer limiter
• van Albada
• OSPRE

Schemes by Leonard - structured grids

• SHARP
• ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation
• ULTIMATE-QUICKEST
• ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK)
• UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm
• NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme
• ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation
• MACHO : Multidimensional Advective - Conservative Hybrid Operator
• COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy
• QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms
• AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection
• EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation

Other Schemes (unclassified) - structured grids

• Chakravarthy-Osher limiter

• Sweby Φ - limiter

• Superbee limiter

• R-k limiter

• MINMOD - MINimum MODulus

• SOUCUP - Second-Order Upwind Central differnce-first order UPwind

• ISNAS - Interpolation Scheme which is Nonoscillatory for Advected Scalars

• COPLA - COmbination of Piecewise Linear Approximation

• HLPA - Hybrid Linear / Parabolic Approximation

• CLAM - Curved-Line Advection Method

• van Leer harmonic

• BSOU

• MSOU - Monotonic Second Order Upwind Differencing Scheme

• Koren

• H-CUS

• MLU

• SHARP - Simple High Accuracy Resolution Program

• LPPA - Linear and Piecewise / Parabolic Approximasion

• GAMMA

• CUBISTA - Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection

reference shablon

SMITH (3000), "XXX", XXX.