Exact PDF equations and closure approximations for advective-reactive transport
From MaRDI portal
Publication:347680
DOI10.1016/j.jcp.2013.03.001zbMath1349.35068OpenAlexW2005753727MaRDI QIDQ347680
Daniele Venturi, Alexandre M. Tartakovsky, George Em. Karniadakis, Daniel M. Tartakovsky
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.03.001
Random fields (60G60) Initial value problems for linear first-order PDEs (35F10) General questions in geophysics (86A04) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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Cites Work
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- Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
- Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
- Adaptive ANOVA decomposition of stochastic incompressible and compressible flows
- Time-dependent generalized polynomial chaos
- A fully symmetric nonlinear biorthogonal decomposition theory for random fields
- On the solution of the Fokker-Planck equation using a high-order reduced basis approximation
- A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
- Uncertainty quantification in kinematic-wave models
- Mapping closures for turbulent mixing and reaction
- Multi-element probabilistic collocation method in high dimensions
- A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables
- Long-term behavior of polynomial chaos in stochastic flow simulations
- Generalized spectral decomposition for stochastic nonlinear problems
- An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
- On the distribution of the sum of independent uniform random variables
- The distribution function of a linear combination of chi-squares
- Spectral polynomial chaos solutions of the stochastic advection equation
- Efficient input-output model representations
- On the distribution of the sum of \(n\) non-identically distributed uniform random variables
- Simple cubature formulas with high polynomial exactness
- Probability density functions for advective-reactive transport in radial flow
- New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs
- On the velocity distribution in homogeneous isotropic turbulence: correlations and deviations from Gaussianity
- Monin-Lundgren hierarchy versus the Hopf equation in the statistical theory of turbulence
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder
- On the conditional variance and covariance equations for second-order conditional moment closure
- Stochastic bifurcation analysis of Rayleigh–Bénard convection
- A space-time functional formalism for turbulence
- The Distribution Function of Positive Definite Quadratic Forms in Normal Random Variables
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Simple models of turbulent flows
- A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems
- On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate
- Series Representations of Distributions of Quadratic Forms in Normal Variables. I. Central Case
- Equations of turbulent motion
- Probability Content of Regions Under Spherical Normal Distributions, IV: The Distribution of Homogeneous and Non-Homogeneous Quadratic Functions of Normal Variables
