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Presumed probability density function (PDF) and transported PDF methods are commonly applied to model the turbulence chemistry interaction in turbulent reacting flows. However, little focus has been given to the turbulence chemistry…

Fluid Dynamics · Physics 2022-12-08 M. Steinhausen , T. Zirwes , F. Ferraro , S. Popp , F. Zhang , H. Bockhorn , C. Hasse

The present contribution introduces a fourth-order moment formalism for particle trajectory crossing (PTC) in the framework of multiscale modeling of disperse multiphase flow. In our previous work, the ability to treat PTC was examined with…

Numerical Analysis · Mathematics 2018-09-07 Christophe Chalons , Frédérique Laurent , Marc Massot , Aymeric Vié

Flamelet Progress Variable (FPV) combustion models allow the evaluation of all thermo chemical quantities in a reacting flow by computing only the mixture fraction Z and a progress variable C. When using such a method to predict a turbulent…

Fluid Dynamics · Physics 2014-01-22 Alessandro Coclite , Giuseppe Pascazio , Pietro De Palma , Luigi Cutrone

The Method of Moments (MOM) has largely been applied to investigate sooting laminar and turbulent flames. However, the classical MOM is not able to characterize a continuous particle size distribution (PSD). Without access to information on…

Fluid Dynamics · Physics 2022-10-20 Federica Ferraro , Sandro Gierth , Steffen Salenbauch , Wang Han , Christian Hasse

Joint probability density function (PDF)-based models in turbulent combustion provide direct closure for turbulence-chemistry interactions. The joint PDFs capture the turbulent flame dynamics at different spatial locations and hence it is…

Fluid Dynamics · Physics 2021-04-06 Rishikesh Ranade , Kevin Gitushi , Tarek Echekki

This paper provides an improved flamelet/progress variable (FPV) model for the simulation of turbulent combustion, employing the statistically most likely distribution (SMLD) approach for the joint probability density function (PDF) of the…

Fluid Dynamics · Physics 2015-04-21 Alessandro Coclite , Giuseppe Pascazio , Pietro De Palma , Luigi Cutrone , Matthias Ihme

This work is concerned with kinetic equations with velocity of constant magnitude. We propose a quadrature method of moments based on the Poisson kernel, called Poisson-EQMOM. The derived moment closure systems are well defined for all…

Computational Physics · Physics 2024-11-20 Yihong Chen , Qian Huang , Wen-An Yong , Ruixi Zhang

Solving the population balance equation (PBE) for the dynamics of a dispersed phase coupled to a continuous fluid is expensive. Still, one can reduce the cost by representing the evolving particle density function in terms of its moments.…

Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we investigate some of the properties of a sub-class of these methods…

Numerical Analysis · Mathematics 2013-10-17 Yongtao Cheng , James A. Rossmanith

The quadrature-based method of moments (QMOM) offers a promising class of approximation techniques for reducing kinetic equations to fluid equations that are valid beyond thermodynamic equilibrium. In this work, we study a particular…

Numerical Analysis · Mathematics 2022-10-25 Erica R. Johnson , James A. Rossmanith , Christine Vaughan

Probability density function (PDF) based turbulent combustion modelling is limited by the need to store multi-dimensional PDF tables that can take up large amounts of memory. A significant saving in storage can be achieved by using various…

Computational Engineering, Finance, and Science · Computer Science 2020-05-21 Rishikesh Ranade , Genong Li , Shaoping Li , Tarek Echekki

Low-temperature plasmas often present non-equilibrium ion distribution functions due to the collisions with the background gas and the presence of strong electric fields. This non-equilibrium is beyond classical fluid models, often…

Plasma Physics · Physics 2025-10-31 Anatole Berger , Thierry Magin , Anne Bourdon , Alejandro Alvarez Laguna

QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the…

Computational Physics · Physics 2020-11-13 Spencer H. Bryngelson , Tim Colonius , Rodney O. Fox

Probability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They make it possible to derive the evolution equations of the mean concentration and the…

Fluid Dynamics · Physics 2016-03-15 Lennart Schüler , Nicolae Suciu , Peter Knabner , Sabine Attinger

Quantum computing offers the promise of speedups for scientific computations, but its application to reacting flows is hindered by nonlinear source terms, the challenges of time-dependent simulations, and the difficulty of extracting…

Quantum Physics · Physics 2026-03-17 Jizhi Zhang , Ziang Yang , Zhaoyuan Meng , Zhen Lu , Yue Yang

This paper introduces the discrete-velocity-direction model (DVDM) in conjunction with the hyperbolic quadrature method of moments (HyQMOM) to develop a multidimensional spatial-temporal approximation of the BGK equation, termed DVD-HyQMOM.…

Computational Physics · Physics 2024-11-20 Tianshu Li , Yihong Chen , Qian Huang

Experimental multi-scalar measurements in laboratory flames have provided important databases for the validation of turbulent combustion closure models. In this work, we present a framework for data-based closure in turbulent combustion and…

Fluid Dynamics · Physics 2019-05-22 Rishikesh Ranade , Tarek Echekki

In probability density function (PDF) methods a transport equation is solved numerically to compute the time and space dependent probability distribution of several flow variables in a turbulent flow. The joint PDF of the velocity…

Fluid Dynamics · Physics 2010-06-04 J. Bakosi , P. Franzese , Z. Boybeyi

The joint probability density function (PDF) of turbulent velocity and concentration of a passive scalar in an urban street canyon is computed using a newly developed particle-in-cell Monte Carlo method. Compared to moment closures, the PDF…

Geophysics · Physics 2010-03-25 J. Bakosi , P. Franzese , Z. Boybeyi

Mixtures of fluids and granular sediments play an important role in many industrial, geotechnical, and aerospace engineering problems, from waste management and transportation (liquid--sediment mixtures) to dust kick-up below helicopter…

Computational Engineering, Finance, and Science · Computer Science 2021-07-07 Aaron S. Baumgarten , Benjamin L. S. Couchman , Ken Kamrin
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