# Approximation Schemes for convective term - structured grids - Schemes

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 Revision as of 18:27, 19 October 2005 (view source)Michail (Talk | contribs)← Older edit Latest revision as of 14:48, 4 November 2005 (view source)Michail (Talk | contribs) (20 intermediate revisions not shown) Line 1: Line 1: - ''When we shall fill this page, I offer to make common identifications, because in different issues was used different notation. + ''When we shall fill this page, we offer to make common identifications and definitions, 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.'' + ''Also we beg everybody to help us with original works. Please see section about what we need. If anyone have literature connected with convective schemes, please drop us a line. Of course You are welcome to participate in Wiki'' ''We shall be very glad and grateful to hear any critical suggestion (please drop a few lines at Wiki Forum)'' ''We shall be very glad and grateful to hear any critical suggestion (please drop a few lines at Wiki Forum)'' Line 7: Line 7: ''It is just a skeleton, but we hope that it will be developed into the good thing'' ''It is just a skeleton, but we hope that it will be developed into the good thing'' - == [[Basic Discretisation schemes]] == + == [[Approximation Schemes for convective term - structured grids - Common#Basic Discretisation schemes | Basic Discretisation schemes]] == - * [[Basic Discretisation schemes#Central Differencing Scheme (CDS) | Central Differencing Scheme (CDS) ]] + * [[Approximation Schemes for convective term - structured grids - Common#Central Differencing Scheme (CDS) | Central Differencing Scheme (CDS) ]] - + * [[Approximation Schemes for convective term - structured grids - Common#Upwind Differencing Scheme (UDS) also (First-order upwind - FOU) | Upwind Differencing Scheme (UDS) also  (First-order upwind - FOU) ]] - * [[Basic Discretisation schemes#Upwind Differencing Scheme (UDS) also (First-order upwind - FOU) | Upwind Differencing Scheme (UDS) also  (First-order upwind - FOU) ]] + * [[Approximation Schemes for convective term - structured grids - Common#Hybrid Differencing Scheme (HDS also HYBRID) |Hybrid Differencing Scheme (HDS also HYBRID) ]] - + * [[Approximation Schemes for convective term - structured grids - Common#Power-Law Scheme (also Exponencial scheme or PLDS )| Power-Law Scheme (also Exponencial scheme or PLDS ) ]] - * [[Basic Discretisation schemes#Hybrid Differencing Scheme (HDS also HYBRID) |Hybrid Differencing Scheme (HDS also HYBRID) ]] + - + - * [[Basic Discretisation schemes#Power-Law Scheme (also Exponencial scheme or PLDS )| Power-Law Scheme (also Exponencial scheme or PLDS ) ]] + == [[Linear Schemes - structured grids ]] == == [[Linear Schemes - structured grids ]] == * [[Linear Schemes - structured grids #SOU - Second Order Upwind (also LUDS or UDS-2) | SOU - Second Order Upwind (also LUDS or UDS-2) ]] * [[Linear Schemes - structured grids #SOU - Second Order Upwind (also LUDS or UDS-2) | SOU - Second Order Upwind (also LUDS or UDS-2) ]] - * [[Linear Schemes - structured grids #Skew - Upwind |Skew - Upwind ]] * [[Linear Schemes - structured grids #Skew - Upwind |Skew - Upwind ]] - * [[Linear Schemes - structured grids #QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS) |QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS) ]] * [[Linear Schemes - structured grids #QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS) |QUICK - Quadratic Upwind Interpolation for Convective Kinematics (also UDS-3 or QUDS) ]] - * [[Linear Schemes - structured grids #LUS - Linear Upwind Scheme| LUS - Linear Upwind Scheme ]] * [[Linear Schemes - structured grids #LUS - Linear Upwind Scheme| LUS - Linear Upwind Scheme ]] - * [[Linear Schemes - structured grids #Fromm - Fromm's Upwind Scheme |Fromm - Fromm's Upwind Scheme ]] * [[Linear Schemes - structured grids #Fromm - Fromm's Upwind Scheme |Fromm - Fromm's Upwind Scheme ]] - * [[Linear Schemes - structured grids #CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4) |CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4) ]] * [[Linear Schemes - structured grids #CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4) |CUDS - Cubic Upwind Difference Scheme (also CUS or UDS-4) ]] - * [[Linear Schemes - structured grids #CUI - Cubic Upwind Interpolation |CUI - Cubic Upwind Interpolation ]] * [[Linear Schemes - structured grids #CUI - Cubic Upwind Interpolation |CUI - Cubic Upwind Interpolation ]] Line 35: Line 26: * [[Non-Linear QUICK based Schemes - structured grids #QUICKER - Quadratic Upwind Interpolation Extended and Revised | QUICKER - Quadratic Upwind Interpolation Extended and Revised ]] * [[Non-Linear QUICK based Schemes - structured grids #QUICKER - Quadratic Upwind Interpolation Extended and Revised | QUICKER - Quadratic Upwind Interpolation Extended and Revised ]] - * [[Non-Linear QUICK based Schemes - structured grids #SMART - Sharp and Monotonic Algorithm for Realistic Transport |SMART - Sharp and Monotonic Algorithm for Realistic Transport ]] + * [[Non-Linear QUICK based Schemes - structured grids #SMART - Sharp and Monotonic Algorithm for Realistic Transport (Also CCCT - Curvature-Compensated Convective Transport ) |SMART - Sharp and Monotonic Algorithm for Realistic Transport (Also CCCT - Curvature-Compensated Convective Transport ) ]] * [[Non-Linear QUICK based Schemes - structured grids #SMARTER - SMART Efficiently Revised |SMARTER - SMART Efficiently Revised ]] * [[Non-Linear QUICK based Schemes - structured grids #SMARTER - SMART Efficiently Revised |SMARTER - SMART Efficiently Revised ]] * [[Non-Linear QUICK based Schemes - structured grids #WACEB |WACEB ]] * [[Non-Linear QUICK based Schemes - structured grids #WACEB |WACEB ]] Line 45: Line 36: * [[Fromm based Schemes - structured grids#Fromm scheme| Fromm scheme]] * [[Fromm based Schemes - structured grids#Fromm scheme| Fromm scheme]] - * [[Fromm based Schemes - structured grids#MUSCL - Monotonic Upwind Scheme for Conservation Laws |MUSCL - Monotonic Upwind Scheme for Conservation Laws ]] * [[Fromm based Schemes - structured grids#MUSCL - Monotonic Upwind Scheme for Conservation Laws |MUSCL - Monotonic Upwind Scheme for Conservation Laws ]] - * [[Fromm based Schemes - structured grids#van Leer limiter |van Leer limiter ]] * [[Fromm based Schemes - structured grids#van Leer limiter |van Leer limiter ]] - * [[Fromm based Schemes - structured grids#van Albada | van Albada ]] * [[Fromm based Schemes - structured grids#van Albada | van Albada ]] - * [[Fromm based Schemes - structured grids#OSPRE |OSPRE ]] * [[Fromm based Schemes - structured grids#OSPRE |OSPRE ]] == [[Schemes by Leonard - structured grids ]] == == [[Schemes by Leonard - structured grids ]] == - * [[Schemes by Leonard - structured grids#SHARP | SHARP]] + * [[Schemes by Leonard - structured grids#SHARP - Simple High Accuracy Resolution Program | SHARP - Simple High Accuracy Resolution Program]] - + * [[Schemes by Leonard - structured grids#ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation | ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation]] * [[Schemes by Leonard - structured grids#ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation | ULTIMATE - Universal Limiter for Transport Interpolation Modelling of the Advective Transport Equation]] - + * [[Schemes by Leonard - structured grids#ULTIMATE-QUICKEST |ULTIMATE-QUICKEST ]] - [[Schemes by Leonard - structured grids#ULTIMATE-QUICKEST |ULTIMATE-QUICKEST ]] + - + * [[Schemes by Leonard - structured grids#ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK) |ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK) ]] * [[Schemes by Leonard - structured grids#ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK) |ULTRA-SHARP : Universal Limiter for Thight Resolution and Accuracy in combination with the Simple High-Accuracy Resolution Program (also ULTRA-QUICK) ]] - * [[Schemes by Leonard - structured grids#UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm |UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm ]] * [[Schemes by Leonard - structured grids#UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm |UTOPIA - Uniformly Third Order Polynomial Interpolation Algorithm ]] - * [[Schemes by Leonard - structured grids#NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme |NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme ]] * [[Schemes by Leonard - structured grids#NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme |NIRVANA - Non-oscilatory Integrally Reconstructed Volume-Avaraged Numerical Advection scheme ]] - * [[Schemes by Leonard - structured grids#ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation |ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation ]] * [[Schemes by Leonard - structured grids#ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation |ENIGMATIC - Extended Numerical Integration for Genuinely Multidimensional Advective Transport Insuring Conservation ]] - * [[Schemes by Leonard - structured grids#MACHO : Multidimensional Advective - Conservative Hybrid Operator |MACHO : Multidimensional Advective - Conservative Hybrid Operator ]] * [[Schemes by Leonard - structured grids#MACHO : Multidimensional Advective - Conservative Hybrid Operator |MACHO : Multidimensional Advective - Conservative Hybrid Operator ]] - * [[Schemes by Leonard - structured grids#COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy |COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy ]] * [[Schemes by Leonard - structured grids#COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy |COSMIC : Conservative Operator Splitting for Multidimensions with Internal Constancy ]] - * [[Schemes by Leonard - structured grids#QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms |QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms ]] * [[Schemes by Leonard - structured grids#QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms |QUICKEST - Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms ]] - * [[Schemes by Leonard - structured grids#AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection |AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection ]] * [[Schemes by Leonard - structured grids#AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection |AQUATIC - Adjusted Quadratic Upstream Algorithm for Transient Incompressible Convection ]] - * [[Schemes by Leonard - structured grids#EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation |EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation ]] * [[Schemes by Leonard - structured grids#EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation |EXQUISITE - Exponential or Quadratic Upstream Interpolation for Solution of the Incompressible Transport Equation ]] + * [[Schemes by Leonard - structured grids#EULER-QUICK |EULER-QUICK ]] == [[Other Schemes (unclassified) - structured grids ]] == == [[Other Schemes (unclassified) - structured grids ]] == + + ''Here we placed schemes which were not included into the previous sections (or we can't subdivide its into some class)'' + * [[Other Schemes (unclassified) - structured grids #Chakravarthy-Osher limiter |Chakravarthy-Osher limiter ]] * [[Other Schemes (unclassified) - structured grids #Chakravarthy-Osher limiter |Chakravarthy-Osher limiter ]] - * [[Other Schemes (unclassified) - structured grids #Sweby Φ - limiter |Sweby Φ - limiter ]] * [[Other Schemes (unclassified) - structured grids #Sweby Φ - limiter |Sweby Φ - limiter ]] - * [[Other Schemes (unclassified) - structured grids #Superbee limiter |Superbee limiter ]] * [[Other Schemes (unclassified) - structured grids #Superbee limiter |Superbee limiter ]] - * [[Other Schemes (unclassified) - structured grids #R-k limiter |R-k limiter ]] * [[Other Schemes (unclassified) - structured grids #R-k limiter |R-k limiter ]] - * [[Other Schemes (unclassified) - structured grids #MINMOD - MINimum MODulus |MINMOD - MINimum MODulus ]] * [[Other Schemes (unclassified) - structured grids #MINMOD - MINimum MODulus |MINMOD - MINimum MODulus ]] - * [[Other Schemes (unclassified) - structured grids #SOUCUP - Second-Order Upwind Central differnce-first order UPwind |SOUCUP - Second-Order Upwind Central differnce-first order UPwind ]] * [[Other Schemes (unclassified) - structured grids #SOUCUP - Second-Order Upwind Central differnce-first order UPwind |SOUCUP - Second-Order Upwind Central differnce-first order UPwind ]] - * [[Other Schemes (unclassified) - structured grids #ISNAS - Interpolation Scheme which is Nonoscillatory for Advected Scalars |ISNAS - Interpolation Scheme which is Nonoscillatory for Advected Scalars ]] * [[Other Schemes (unclassified) - structured grids #ISNAS - Interpolation Scheme which is Nonoscillatory for Advected Scalars |ISNAS - Interpolation Scheme which is Nonoscillatory for Advected Scalars ]] - * [[Other Schemes (unclassified) - structured grids #COPLA - COmbination of Piecewise Linear Approximation |COPLA - COmbination of Piecewise Linear Approximation ]] * [[Other Schemes (unclassified) - structured grids #COPLA - COmbination of Piecewise Linear Approximation |COPLA - COmbination of Piecewise Linear Approximation ]] - * [[Other Schemes (unclassified) - structured grids #HLPA - Hybrid Linear / Parabolic Approximation |HLPA - Hybrid Linear / Parabolic Approximation ]] * [[Other Schemes (unclassified) - structured grids #HLPA - Hybrid Linear / Parabolic Approximation |HLPA - Hybrid Linear / Parabolic Approximation ]] - + * [[Other Schemes (unclassified) - structured grids #LODA - Local Oscillation-Damping Algorithm |LODA - Local Oscillation-Damping Algorithm ]] * [[Other Schemes (unclassified) - structured grids #CLAM - Curved-Line Advection Method |CLAM - Curved-Line Advection Method ]] * [[Other Schemes (unclassified) - structured grids #CLAM - Curved-Line Advection Method |CLAM - Curved-Line Advection Method ]] - * [[Other Schemes (unclassified) - structured grids #van Leer harmonic |van Leer harmonic ]] * [[Other Schemes (unclassified) - structured grids #van Leer harmonic |van Leer harmonic ]] - * [[Other Schemes (unclassified) - structured grids #BSOU |BSOU ]] * [[Other Schemes (unclassified) - structured grids #BSOU |BSOU ]] - * [[Other Schemes (unclassified) - structured grids #MSOU - Monotonic Second Order Upwind Differencing Scheme |MSOU - Monotonic Second Order Upwind Differencing Scheme ]] * [[Other Schemes (unclassified) - structured grids #MSOU - Monotonic Second Order Upwind Differencing Scheme |MSOU - Monotonic Second Order Upwind Differencing Scheme ]] - * [[Other Schemes (unclassified) - structured grids #Koren |Koren ]] * [[Other Schemes (unclassified) - structured grids #Koren |Koren ]] - * [[Other Schemes (unclassified) - structured grids #H-CUS |H-CUS ]] * [[Other Schemes (unclassified) - structured grids #H-CUS |H-CUS ]] - * [[Other Schemes (unclassified) - structured grids #MLU |MLU ]] * [[Other Schemes (unclassified) - structured grids #MLU |MLU ]] - - * [[Other Schemes (unclassified) - structured grids #SHARP - Simple High Accuracy Resolution Program |SHARP - Simple High Accuracy Resolution Program ]] - * [[Other Schemes (unclassified) - structured grids #LPPA - Linear and Piecewise / Parabolic Approximasion |LPPA - Linear and Piecewise / Parabolic Approximasion ]] * [[Other Schemes (unclassified) - structured grids #LPPA - Linear and Piecewise / Parabolic Approximasion |LPPA - Linear and Piecewise / Parabolic Approximasion ]] - * [[Other Schemes (unclassified) - structured grids #GAMMA |GAMMA ]] * [[Other Schemes (unclassified) - structured grids #GAMMA |GAMMA ]] + * [[Other Schemes (unclassified) - structured grids #CUBISTA - Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection |CUBISTA - Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection ]] + - * [[Other Schemes (unclassified) - structured grids #CUBISTA - Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection |CUBISTA - Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection ]] - --------------------------------------------------------------------- --------------------------------------------------------------------- Line 129: Line 91: {{reference-paper | author=SMITH    | year= 3000  | title= XXX {{reference-paper | author=SMITH    | year= 3000  | title= XXX | rest= XXX  }} | rest= XXX  }} + + ---- + Return to [[Numerical methods | Numerical Methods]] + + Return to [[Approximation Schemes for convective term - structured grids]]

## Latest revision as of 14:48, 4 November 2005

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

Also we beg everybody to help us with original works. Please see section about what we need. If anyone have literature connected with convective schemes, please drop us a line. Of course You are welcome to participate in Wiki

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

## Other Schemes (unclassified) - structured grids

Here we placed schemes which were not included into the previous sections (or we can't subdivide its into some class)

## reference shablon

SMITH (3000), "XXX", XXX.

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