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dc.contributor.authorICASP14
dc.contributor.authorWang, Junwen
dc.contributor.authorYang, Dixiong
dc.contributor.authorChen, Guohai
dc.date.accessioned2023-08-03T11:02:02Z
dc.date.available2023-08-03T11:02:02Z
dc.date.issued2023
dc.identifier.citationJunwen Wang, Guohai Chen, Dixiong Yang, Dynamic responses and flow field characteristic of stochastic Burgers equation, 14th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP14), Dublin, Ireland, 2023.
dc.identifier.urihttp://hdl.handle.net/2262/103231
dc.descriptionPUBLISHED
dc.description.abstractTurbulent flow is a highly irregular motion which is usually described as stochastic process in engineering analysis and design, and Burgers equation as a turbulence model has been widely used in various fields. In order to obtain the probability density function of physical quantities in the stochastic Burgers equation and more flow field characteristic information, we propose the direct probability integral method (DPIM), and solve the viscous Burgers equation with random initial conditions of Gaussian white noise. Firstly, the basic theory of Burgers equation and the numerical method for computing Burgers equation, namely predictor-corrector method, are introduced. Secondly, the hybrid spectral representation and random function approach is utilized to accurately simulate the stochastic process of Gaussian white noise by using only two random variables. Finally, the stochastic Burgers equation is calculated via DPIM, and the probability density functions of different position responses at different times are achieved, which are compared with those results by Monte Carlo simulation. It is indicated the probability density functions of flow velocity obtained by the two methods are in good agreement, and DPIM is more efficient. With the increase of time, the velocity response of Burgers equation gradually decreases due to the influence of viscosity coefficient in its diffusion term.
dc.language.isoen
dc.relation.ispartofseries14th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP14)
dc.rightsY
dc.titleDynamic responses and flow field characteristic of stochastic Burgers equation
dc.title.alternative14th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP14)
dc.typeConference Paper
dc.type.supercollectionscholarly_publications
dc.type.supercollectionrefereed_publications
dc.rights.ecaccessrightsopenAccess


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    14th International Conference on Application of Statistics and Probability in Civil Engineering

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