Zobrazeno 1 - 10
of 26
pro vyhledávání: '"TIANBAI XIAO"'
Publikováno v:
Symmetry, Vol 16, Iss 2, p 155 (2024)
In fluid mechanics, modal decomposition, deeply intertwined with the concept of symmetry, is an essential data analysis method. It facilitates the segmentation of parameters such as flow, velocity, and pressure fields into distinct modes, each exhibi
Externí odkaz:
https://doaj.org/article/9cfb5f6236834b7da6108980d8f63acf
Autor:
Tianbai Xiao
Publikováno v:
Entropy, Vol 24, Iss 8, p 1110 (2022)
The study of the evolution of the atmosphere requires careful consideration of multicomponent gaseous flows under gravity. The gas dynamics under an external force field is usually associated with an intrinsic multiscale nature due to large particle
Externí odkaz:
https://doaj.org/article/5f945cfc188c46789f9389d30fcf97c9
Publikováno v:
ACM Transactions on Mathematical Software; Dec2023, Vol. 49 Issue 4, p1-24, 24p
Autor:
Tianbai Xiao
Publikováno v:
International Journal of Computational Fluid Dynamics. 36:294-318
Publikováno v:
Journal of scientific computing, 95(1):18. SPRINGER/PLENUM PUBLISHERS
The study of uncertainty propagation poses a great challenge to design numerical solvers with high fidelity. Based on the stochastic Galerkin formulation, this paper addresses the idea and implementation of the first flux reconstruction scheme for hy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94e63c66199144ec4c07d2e628642d98
https://research.rug.nl/en/publications/838da8c5-3e49-4e9c-b121-0e5a2991f932
https://research.rug.nl/en/publications/838da8c5-3e49-4e9c-b121-0e5a2991f932
Direct simulation of physical processes on a kinetic level is prohibitively expensive in aerospace applications due to the extremely high dimension of the solution spaces. In this paper, we consider the moment system of the Boltzmann equation, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70ce256e76e46a4ec4367418526c5f11
https://publikationen.bibliothek.kit.edu/1000144563
https://publikationen.bibliothek.kit.edu/1000144563
Autor:
Martin Frank, Tianbai Xiao
One of the biggest challenges for simulating the Boltzmann equation is the evaluation of fivefold collision integral. Given the recent successes of deep learning and the availability of efficient tools, it is an obvious idea to try to substitute the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8046af166d0716af2c16f31e272143a0
http://arxiv.org/abs/2010.13649
http://arxiv.org/abs/2010.13649
Publikováno v:
Applied Mathematics and Mechanics. 40:355-372
Compressible flows exhibit a diverse set of behaviors, where individual particle transports and their collective dynamics play different roles at different scales. At the same time, the atmosphere is composed of different components that require addi
Autor:
Tianbai Xiao, Martin Frank
Plasmas present a diverse set of behaviors in different regimes. Given the intrinsic multi-scale nature of plasma dynamics, classical theoretical and numerical methods are often employed at separate scales with corresponding assumptions and approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c68404a0bc276aa3e77d920d202c84a
http://arxiv.org/abs/2002.00277
http://arxiv.org/abs/2002.00277
Autor:
Tianbai Xiao
Publikováno v:
Journal of Computational Physics. 447:110689
It is challenging to solve the Boltzmann equation accurately due to the extremely high dimensionality and nonlinearity. This paper addresses the idea and implementation of the first flux reconstruction method for high-order Boltzmann solutions. Based