TITLE

Upstream Nonoscillatory Advection Schemes

AUTHOR(S)
Jian-Guo Li
PUB. DATE
December 2008
SOURCE
Monthly Weather Review;Dec2008, Vol. 136 Issue 12, p4709
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Upstream nonoscillatory (UNO) advection schemes are derived by optimizing existing classical advection schemes and combining them in different monotonic zones to avoid flux limiters for simplicity. The UNO schemes are extended to irregular grids in the form of upstream midflux linear interpolation with symmetrical gradients and are adapted to multidimensions with an advective–conservative operator. They are given in finite-volume flux form and hence are consistent and conservative. They also preserve constancy and linear correlation. Implicit numerical diffusivity of these schemes is also derived and used as a guideline for the selection of advection schemes. One- and two-dimesional tests are used for comparisons with their classical counterparts. Multiple-cell grids are used to test the irregular grid formulation and demonstrate their performance. The simple second-order UNO2 scheme may be accurate enough when the physical diffusion or numerical smoothing term is larger than the numerical diffusion. The third-order UNO3 scheme has very small self-constrained numerical diffusion and is suitable for general atmospheric and oceanic tracer advection.
ACCESSION #
36092245

 

Related Articles

  • Improvement of Free Convection Heat Transfer Rate of Rectangular Heatsink on Vertical Base Plates. Goshayeshi, Hamid Reza; Fahiminia, Mahdi; Naserian, Mohammad Mahdi // Energy & Power Engineering;Sep2011, Vol. 3 Issue 4, p525 

    In this paper, the laminar heat transfer of natural convection on vertical surfaces is investigated. Most of the studies on natural convection have been considered constantly whereas velocity and temperature domain, do not change with time, transient one are used a lot. Governing equations are...

  • A New Method for Constructing the Coefficients of Pressure Correction Equation for Colocated Unstructured Grids. Rafee, R.; Rahimzadeh, H. // American Journal of Applied Sciences;2009, Vol. 6 Issue 1, p93 

    One of the important equations in numerical solution of Navier Stokes equations is the pressure correction equation. In this article, a new method for constructing the coefficients of this equation for colocated unstructured meshes is proposed. This method is based on momentum interpolation. The...

  • A Lagrangian finite volume method for the simulation of flows with moving boundaries. Ata, Riadh; Soulaïmani, Azzeddine; Chinesta, Francisco // AIP Conference Proceedings;2007, Vol. 907 Issue 1, p1412 

    In this paper a Lagrangian formulation of the Natural Element Method (NEM) is proposed to solve shallow water inviscid flows. NEM is a particle-based method which revealed its capabilities in handling large distortion problems. Its main advantage is the interpolant character of its shape...

  • A SIXTH-ORDER FINITE VOLUME METHOD FOR THE 1D BIHARMONIC OPERATOR: APPLICATION TO INTRAMEDULLARY NAIL SIMULATION. COSTA, RICARDO; MACHADO, GASPAR J.; CLAIN, STÉPHANE // International Journal of Applied Mathematics & Computer Science;2015, Vol. 25 Issue 3, p529 

    A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to...

  • Study on the Convective Term Discretized by Strong Conservation and Weak Conservation Schemes for Incompressible Fluid Flow and Heat Transfer. Peng Wang; Bo Yu; Jianyu Xie; Yu Zhao; Jingfa Li; Qianqian Shao // Journal of Applied Mathematics;2013, p1 

    When the conservative governing equation of incompressible fluid flow and heat transfer is discretized by the finite volume method, there are various schemes to deal with the convective term. In this paper, studies on the convective termdiscretized by two different schemes, named strong and weak...

  • The Nonlocal p-Laplacian Evolution for Image Interpolation. Yi Zhan // Mathematical Problems in Engineering;2011, Vol. 2011, Special section p1 

    This paper presents an image interpolation model with nonlocal p-Laplacian regularization. The nonlocal p-Laplacian regularization overcomes the drawback of the partial differential equation (PDE) proposed by Belahmidi and Guichard (2004) that image density diffuses in the directions pointed by...

  • Keller's Box-Scheme for the One-Dimensional Stationary Convection-Diffusion Equation. Croisille, J.-P. // Computing;2002, Vol. 68 Issue 1, p37 

    The box-scheme of H. B. Keller, initially derived in [22] for the one-dimensional heat equation, is a mixed finite volume scheme for conservative equations. The basic principle of the scheme for equations like div φ(u, ∇u) = f, is to take the average onto the same mesh of the two...

  • Aerodynamic Characteristics of High Speed Trains under Cross Wind Conditions. Chen, W.; Wu, S. P.; Zhang, Y. // AIP Conference Proceedings;9/28/2011, Vol. 1376 Issue 1, p181 

    Numerical simulation for the two models in cross-wind was carried out in this paper. The three-dimensional compressible Reynolds-averaged Navier-Stokes equations(RANS), combined with the standard k-[variant_greek_epsilon] turbulence model, were solved on multi-block hybrid grids by second order...

  • Efficient Conservative Global Transport Schemes for Climate and Atmospheric Chemistry Models. Nair, Ramachandran D.; Scroggs, Jeffrey S.; Semazzi, Fredrick H. M. // Monthly Weather Review;Aug2002, Vol. 130 Issue 8, p2059 

    A computationally efficient mass-conservative transport scheme over the sphere is proposed and tested. The scheme combines a conservative finite-volume method with an efficient semi-Lagrangian scheme based on the dimension splitting “cascade” method. In the regions near the poles...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics