A novel Kalman filter based approach for multiscale reacting flow simulations

Srivastava, Shubham; Echekki, Tarek

doi:10.1016/j.compfluid.2013.04.008

Computers & Fluids

2013

DOI: 10.1016/j.compfluid.2013.04.008

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A novel Kalman filter based approach for multiscale reacting flow simulations

Shubham Srivastava

Tarek Echekki

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Cited by 2 publications

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“…O'Kane and Frederiksen (2010) studied statistical dynamical closer theory for general inhomogeneous turbulent flows and its application to data assimilation using the dynamical Kalman filter. Daun et al (2011) dealt with infrared species tomography of a transient flow field using the KF Srivastava and Echekki (2013). proposed a multi-scale model of reacting flows by combining a coarse-grained deterministic solution and a fine-grid stochastic solution using the KF.As mentioned above, the EnKF and the PF are state estimation methods to obtain probability functions of the state variables in stochastic systems Ueno et al (2010).…”

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confidence: 99%

Numerical simulation of real-world flows

Hayase

2015

Fluid Dyn. Res.

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Obtaining real flow information is important in various fields, but is a difficult issue because measurement data are usually limited in time and space, and computational results usually do not represent the exact state of real flows. Problems inherent in the realization of numerical simulation of real-world flows include the difficulty in representing exact initial and boundary conditions and the difficulty in representing unstable flow characteristics. This article reviews studies dealing with these problems. First, an overview of basic flow measurement methodologies and measurement data interpolation/ approximation techniques is presented. Then, studies on methods of integrating numerical simulation and measurement, namely, four-dimensional variational data assimilation (4D-Var), Kalman filters (KFs), state observers, etc are discussed. The first problem is properly solved by these integration methodologies. The second problem can be partially solved with 4D-Var in which only initial and boundary conditions are control parameters. If an appropriate control parameter capable of modifying the dynamical structure of the model is included in the formulation of 4D-Var, unstable modes are properly suppressed and the second problem is solved. The state observer and KFs also solve the second problem by modifying mathematical models to stabilize the unstable modes of the original dynamical system by applying feedback signals. These integration methodologies are now applied in simulation of real-world flows in a wide variety of research fields. Examples are presented for basic fluid dynamics and applications in meteorology, aerospace, medicine, etc.

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confidence: 99%

Numerical simulation of real-world flows

Hayase

2015

Fluid Dyn. Res.

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A coupled LES-ODT model for spatially-developing turbulent reacting shear layers

Hoffie

Echekki

2018

International Journal of Heat and Mass Transfer

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A novel Kalman filter based approach for multiscale reacting flow simulations

Cited by 2 publications

References 17 publications

Numerical simulation of real-world flows

Numerical simulation of real-world flows

A coupled LES-ODT model for spatially-developing turbulent reacting shear layers

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