Flux-corrected transport algorithms preserving the eigenvalue range of symmetric tensor quantities
نویسندگان
چکیده
منابع مشابه
Fully Multidimensional Flux-Corrected Transport Algorithms for Fluids
The theory of flux-corrected transport (FCT) developed by Boris and Book [.I. Co~~pur. P~JLV. II (1973) 38; 18 (1975) 248; 20 (1976) 3971 is placed in a simple, generalized format, and a new algorithm for implementing the critical flux limiting stage in multidimensions without resort to time splitting is presented. The new flux limiting algorithm shows the use of FCT techniques in multidimensio...
متن کاملConformal mappings preserving the Einstein tensor of Weyl manifolds
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...
متن کاملOn the largest eigenvalue of a symmetric nonnegative tensor
In this paper, some important spectral characterizations of symmetric nonnegative tensors are analyzed. In particular, it is shown that a symmetric nonnegative tensor has the following properties: (i) its spectral radius is zero if and only if it is a zero tensor; (ii) it is weakly irreducible (respectively, irreducible) if and only if it has a unique positive (respectively, nonnegative) eigenv...
متن کاملA multistep flux-corrected transport scheme
A multistep flux-corrected transport (MFCT) scheme is developed to achieve conservative and monotonic tracer transports for multistep dynamical cores. MFCT extends Zalesak twotime level scheme to any multistep time-differencing schemes by including multiple highorder fluxes in the antidiffusive flux, while computing the two-time level low-order monotone solution. The multistep time-differencing...
متن کاملApplication of Flux Corrected Transport for Multicomponent Reactive Transport Modeling
Reactive transport describes the coupling among flow, transport and chemical reactions occurring in porous media; and therefore it is important in areas such as aquifer remediation, groundwater contamination, geochemical reaction modeling and CO2 sequestration. Due to the large time scales involved and/or the lack of accessibility to the subsurface, in most of these studies an adequate represen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2017
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2017.09.009