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Intrusive Polynomial Chaos for CFD Using OpenFOAM [PDF]
Computational Science – ICCS 202020th International Conference, 2020 We present the formulation and implementation of a stochastic Computational Fluid Dynamics (CFD) solver based on the widely used finite volume library - OpenFOAM. The solver employs Generalized Polynomial Chaos (gPC) expansion to (a) quantify the uncertainties associated with the fluid flow simulations, and (b) study the non-linear propagation of these
Parekh J, Verstappen R.
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Smoking dynamics with media awareness to control the prevalence of bad effect through fractional operator study [PDF]
MethodsXSmoking remains a persistent global health concern with complex behavioral dynamics influenced by memory and past experiences. This study formulates and analyses a fractional-order mathematical model of smoking behavior using the Caputo derivative to ...
Muhammad Farman +5 more
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Study on precision reliability evaluation method of harmonic drive based on NIPCE considering wear [PDF]
Scientific ReportsA dynamic reliability evaluation method for precision of harmonic drive considering wear is proposed to estimate the precision reliability of harmonic drive precisely for precision degradation failure prediction and proactive maintenance.
Xian Zhang +4 more
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Mathematics, 2023 The evaluation of objective functions and component reliability in the optimisation of structural-acoustic systems with random and interval variables is computationally expensive, especially when strong nonlinearity exhibits between the response and ...
Shengwen Yin +3 more
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HIERARCHICAL ADAPTIVE POLYNOMIAL CHAOS EXPANSIONS [PDF]
Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2015), 2015 Polynomial chaos expansions (PCE) are widely used in the framework of uncertainty quantification. However, when dealing with high dimensional complex problems, challenging issues need to be faced. For instance, high-order polynomials may be required, which leads to a large polynomial basis whereas usually only a few of the basis functions are in fact ...
Mai, Chu V., Sudret, Bruno
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POLYNOMIAL-CHAOS-BASED KRIGING [PDF]
International Journal for Uncertainty Quantification, 2015 Computer simulation has become the standard tool in many engineering fields for designing and optimizing systems, as well as for assessing their reliability. To cope with demanding analysis such as optimization and reliability, surrogate models (a.k.a meta-models) have been increasingly investigated in the last decade. Polynomial Chaos Expansions (PCE)
Schoebi, R., Sudret, B., Wiart, J.
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Physics-informed polynomial chaos expansions
Journal of Computational Physics, 2023 Surrogate modeling of costly mathematical models representing physical systems is challenging since it is typically not possible to create a large experimental design. Thus, it is beneficial to constrain the approximation to adhere to the known physics of the model.
Lukáš Novák +2 more
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Shock and Vibration, 2021 For the vibro-acoustic system with interval and random uncertainties, polynomial chaos expansions have received broad and persistent attention. Nevertheless, the cost of the computation process increases sharply with the increasing number of uncertain ...
Shengwen Yin, Xiaohan Zhu, Xiang Liu
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Polynomial chaos Kalman filter for target tracking applications
IET Radar, Sonar & Navigation, 2023 In this paper, an approximate Gaussian state estimator is developed based on generalised polynomial chaos expansion for target tracking applications. Motivated by the fact that calculating conditional moments in an approximate Gaussian filter involves ...
Kundan Kumar +3 more
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Probabilistic load margin assessment considering forecast error of wind power generation
Energy Reports, 2023 The increasing integration of wind power in power systems necessitates the probabilistic assessment of various uncertain factors. In operational planning, modeling short-term scale uncertainties, i.e., wind power forecast errors, plays an important role.
Chenxu Wang +3 more
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