Simulating the hydraulic characteristics of the lower Yellow River by the finite‐volume technique

Wan, Qing; Wan, Hongtao; Zhou, Chenghu; Wu, Ying

doi:10.1002/hyp.1069

Cited by 9 publications

(2 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This method which investigated in the early literature [88,89] and was known as the integral finite difference method, has proved particularly popular for simulating a wide range of important applications and physical processes such as fluid mechanics, meteorology, electromagnetics, semi-conductor device simulation, mass transfer or petroleum engineering and numerous models of biological processes [2,3,5,15,16,28,38,53,61,80,92,94,99]. Finite volume approximations rely on the local conservation property expressed by the differential equation and inherit the physical conservation laws of the original problems locally, hence this method can be expected to simulate corresponding physical phenomena effectively [31,51,90].…”

Section: Introductionmentioning

confidence: 99%

A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations

Shakeri¹,

Dehghan²

2011

Applied Numerical Mathematics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations

Shakeri¹,

Dehghan²

2011

Applied Numerical Mathematics

View full text Add to dashboard Cite

“…demonstrated the processes governing river water quality by the usefulness of principal component analysis Ren and Packman (2002). investigate the effects of background water composition on advective stream-subsurface exchange of submicron colloids.ModelsWan et al (2002) used the finite-volume technique to solve two-dimensional shallowwater equations on unstructured mesh consisting of quadrilateral elements to simulate the hydraulic characteristics of the lower Yellow River Lefebvre (2002). developed a stochastic model to determine the flow in a river in Quebec.…”

mentioning

confidence: 99%

Mixing and Transport

Godfrey¹,

Mathisen²

2003

Water Environment Research

View full text Add to dashboard Cite

The papers reviewed herein address surface water flow phenomena and fluid mechanics relating to the mixing and transport of pollutants in the environment. It is recognized that mixing and transport represents an extremely broad subject area, and other contributions may exist in addition to those listed here. Thus, this review is intended to present a cross-section of the recent work in this broad subject area. After a summary of various general fluid mechanics and transport topics (including mixing in turbulent fields, general modeling issues, jets and plumes, mixing layers and stratified flows, and watershed and source issues), this paper summarizes research in riverine, lacustrine, estuarine, coastal, pelagic marine systems. The paper closes with additional topics of interest (including biotic interactions, gas transfer, and sediments). GENERAL Mixing and transport in turbulent fieldsTo characterize transport of passive scalars in isotropic turbulent flows, Yeung and Sawford (2002) developed a theory that incorporates random-sweeping hypothesis (in which small scales are effectively swept along by larger scales). Comparisons with direct numerical simulations provide support for the validity of the assumption. Balk (2002) developed a theory to characterize a passive tracer in a turbulent velocity field resulting from the superposition of random waves. He found that the field has two Literature Review 2003 2 regimes: a "close" regime, in which particles diverge exponentially, and a "large" regime, for which the spread of the tracer cloud follows a power law relationship.Weichman and Glazman (2002) also developed a theory to characterize spatial variations of a passive tracer in a random wave field, with consideration to the case of long, internal gravity waves. The effective horizontal compressibility of the wave velocity field has an important effect on the tracer variations for the inertial subrange associated with larger scales. Experiments were completed by Aliseda et al. (2002) to study the characteristics of heavy particles in homogeneous isotropic turbulence. The results showed that large spatial and temporal inhomogeneities exist in the concentration field, which lead to the preferential concentration of particles into certain regions of the flow. This behavior affects the settling velocity. General modeling issuesWhile limited material was found to address numerical modeling issues, these issues are still quite pertinent. For example, Berger and Howington (2002) look at discrete fluxes and mass balance in finite-element techniques. They show that by remaining consistent with discrete approximations, given by the finite-element statement, the resulting flux estimates will preserve mass balance. Also, Tsai et al. (2002) propose a study of an efficient hybrid finite-difference scheme for solving the dispersion equation with general Peclet conditions to simultaneously deal with pure advection, pure diffusion, and/or dispersion.

show abstract

Finite‐volume multi‐stage schemes for shallow‐water flow simulations

Guo

Lai

Lin

2007

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYA finite-volume multi-stage (FMUSTA) scheme is proposed for simulating the free-surface shallow-water flows with the hydraulic shocks. On the basis of the multi-stage (MUSTA) method, the original Riemann problem is transformed to an independent MUSTA mesh. The local Lax-Friedrichs scheme is then adopted for solving the solution of the Riemann problem at the cell interface on the MUSTA mesh. The resulting first-order monotonic FMUSTA scheme, which does not require the use of the eigenstructure and the special treatment of entropy fixes, has the generality as well as simplicity. In order to achieve the highresolution property, the monotonic upstream schemes for conservation laws (MUSCL) method are used. For modeling shallow-water flows with source terms, the surface gradient method (SGM) is adopted. The proposed schemes are verified using the simulations of six shallow-water problems, including the 1D idealized dam breaking, the steady transcritical flow over a hump, the 2D oblique hydraulic jump, the circular dam breaking and two dam-break experiments. The simulated results by the proposed schemes are in satisfactory agreement with the exact solutions and experimental data. It is demonstrated that the proposed FMUSTA schemes have superior overall numerical accuracy among the schemes tested such as the commonly adopted Roe and HLL schemes.

show abstract

Simulating the hydraulic characteristics of the lower Yellow River by the finite‐volume technique

Cited by 9 publications

References 19 publications

A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations

A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations

Mixing and Transport

Finite‐volume multi‐stage schemes for shallow‐water flow simulations

Contact Info

Product

Resources

About