#### Filter Results:

- Full text PDF available (14)

#### Publication Year

2002

2017

- This year (1)
- Last 5 years (7)
- Last 10 years (16)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Robert K Niven
- Physical review. E, Statistical, nonlinear, and…
- 2009

A theory to predict the steady-state position of a dissipative flow-controlled system, as defined by a control volume, is developed based on the maximum entropy principle of Jaynes, involving minimization of a generalized free-energy-like potential. The analysis provides a theoretical justification of a local, conditional form of the maximum entropy… (More)

- Robert K. Niven
- ArXiv
- 2005

1 Abstract This study critically analyses the information-theoretic, axiomatic and combinatorial philosophical bases of the entropy and cross-entropy concepts. The combinatorial basis is shown to be the most fundamental (most primitive) of these three bases, since it gives (i) a derivation for the Kullback-Leibler cross-entropy and Shannon entropy… (More)

- R. K. Niven
- 2009

We examine the combinatorial or probabilistic definition (" Boltzmann's principle ") of the en-tropy or cross-entropy function H ∝ ln W or D ∝ − ln P, where W is the statistical weight and P the probability of a given realization of a system. Extremisation of H or D, subject to any constraints, thus selects the " most probable " (MaxProb) realization. If… (More)

- Laurent Cordier, Bernd R. Noack, +5 authors Robert K. Niven
- 2013

A reduced-order modelling (ROM) strategy is crucial to achieve model-based control in a wide class of flow configurations. In turbulence, ROMs are mostly derived by Galerkin projection of first-principles equations onto the proper orthogonal decomposition (POD) modes. These POD ROMs are known to be relatively fragile when used for control design. To… (More)

- Robert K. Niven
- ArXiv
- 2004

- Robert K. Niven
- 2008

The combinatorial basis of entropy, given by Boltzmann, can be written H = N −1 ln W, where H is the dimensionless entropy, N is the number of entities and W is number of ways in which a given realization of a system can occur (its statistical weight). This can be broadened to give generalized combinatorial (or probabilistic) definitions of entropy and… (More)

- Robert K Niven
- Philosophical transactions of the Royal Society…
- 2010

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the 'maximum entropy production' (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses a dimensionless potential function (st) for non-equilibrium systems, analogous to the free energy concept of equilibrium… (More)

- Bernd R. Noack, Robert K. Niven
- Computers & Mathematics with Applications
- 2013

We propose a maximum-entropy closure strategy for dissipative dynamical systems building on and generalizing earlier examples (Noack & Niven (2012) [11]). Focus is placed on Galerkin systems arising from a projection of the incompressible Navier–Stokes equation onto orthonormal expansionmodes. Themaximum-entropy closure is motivated by a simple analytical… (More)

- Marian Grendár, Robert K. Niven
- Inf. Sci.
- 2010

- Kamaljit Singh, Robert K Niven, +4 authors Mark A Knackstedt
- Environmental science & technology
- 2011

The pore-scale behavior of a nonaqueous phase liquid (NAPL) trapped as residual contamination in a porous medium, subject to freeze-thaw cycles, was investigated by X-ray microcomputed tomography. It is shown that freeze-thaw cycles cause significant NAPL remobilization in the direction of the freezing front, due to the rupture and transport of a… (More)