From CFD-Wiki
QUICKER - Quadratic Upwind Interpolation Extended and Revised
SMART - Sharp and Monotonic Algorithm for Realistic Transport
P.H.Gaskell and A.C.K. Lau, Curvature-compensated convective transport: SMART, a new boundedness preserving transport algorithm, International J. Numer. Methods Fluids 8 (1988) 617-641
Normalized variables - uniform grids (NVD)
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Normalized variables - non-uniform grids (NVSF)
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where
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SMARTER - SMART Efficiently Revised
J.K. Shin and Y.D. Choi
Study on the improvement of the convective differencing scheme for the high-accuracy and stable resolution of the numerical solution
Trans. KSME 16(6) (1992) 1179-1194 (in Korean)
Normalized variables - uniform grids
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Normalized variables - non-uniform grids
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where
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WACEB
Song B., Liu G.B., Kam K.Y., Amano R.S.
On a higher-order bounded discretization schemes
International Journal for Numerical Methods in Fluids, 2000, 32, 881-897
Normalized variables - uniform grids
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Normalized variables - non-uniform grids
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where
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VONOS - Variable-Order Non-Oscillatory Scheme
Varonos A., Bergeles G., Development and assessment of a Variable-Order Non-oscillatory Scheme for convection term discretization // International Journal for Numerical Methods in Fluids. 1998. 26, N 1. 1-16
Normalized variables - uniform grids
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Normalized variables - non-uniform grids
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where
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CHARM - Cubic / Parabolic High-Accuracy Resolution Method
G.Zhou , Numerical simulations of physical discontinuities in single and multi-fluid flows for arbitrary Mach numbers, PhD Thesis, Chalmers University of Technology, Sweden (1995)
Gang Zhou, Lars Davidson and Erik Olsson
Transonic Inviscid / Turbulent Airfoil Flow Simulations Using a Pressure Based Method with High Order Schemes
Lecture notes in Physics, No. 453, pp. 372-377, Springler-Verlag, Berlin, (1995)
usual variables
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where
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Normalized variables - non-uniform grids
unfortunately we cen't present expression on non-uniform grids because of complexity
UMIST - Upstream Monotonic Interpolation for Scalar Transport
F.S.Lien and M.A.Leschziner , Upstream Monotonic Interpolation for Scalar Transport with application to complex turbulent flows, International Journal for Numerical Methods in Fluids, Vol. 19, p.257, (1994)