The Art of Analytical Benchmarking

Ganapol, B. D.; Furfaro, Roberto

doi:10.1007/978-3-540-77362-7_4

Cited by 3 publications

(2 citation statements)

References 5 publications

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“…(2.22) must be equipped with appropriate boundary conditions and solved numerically to compute L. Various numerical techniques are available to solve the RTE and include the iterative solution of the Ambartsumiam's integral equation (Mishchenko et al 1999), adding-doubling technique (Hansen and Travis 1974), converged discrete ordinates method (Ganapol and Furfaro, 2008), and analytical discrete ordinates method (Siewert 2000). Areal and intimate mixtures of snow, ice, and debris can be modeled using radiative transfer theory (see Chapter 3).…”

Section: Optical Thickness (() Is Related To Thickness (H) Via the Exmentioning

confidence: 99%

Theoretical Foundations of Remote Sensing for Glacier Assessment and Mapping

Bishop

Bush

Furfaro

et al. 2014

Global Land Ice Measurements From Space

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The international scientific community is actively engaged in assessing ice sheet and alpine glacier fluctuations at a variety of scales. The availability of stereoscopic, multitemporal, and multispectral satellite imagery from the optical wavelength regions of the electromagnetic spectrum has greatly increased our ability to assess glaciological conditions and map the cryosphere. There are, however, important issues and limitations associated with accurate satellite information extraction and mapping, as well as new opportunities for assessment and mapping that are all rooted in understanding the fundamentals of the radiation transfer cascade. We address the primary radiation transfer components, relate them to glacier dynamics and mapping, and summarize the analytical approaches that permit transformation of spectral variation into thematic and quantitative parameters. We also discuss the integration of satellite-derived information into numerical modeling approaches to facilitate understandings of glacier dynamics and causal mechanisms.

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Section: Optical Thickness (() Is Related To Thickness (H) Via the Exmentioning

confidence: 99%

Theoretical Foundations of Remote Sensing for Glacier Assessment and Mapping

Bishop

Bush

Furfaro

et al. 2014

Global Land Ice Measurements From Space

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“…Nowadays, the steady-state linear transport equation can be solved for a variety of particle transport problems including neutron distribution in nuclear reactor geometries (e.g., Sanchez et al, 2010), radiative transfer in rotationally invariant media (e.g., Ganapol and Furfaro, 2008) and nonrotationally invariant media (e.g., Shultis and Myneni, 1988), as well as particle distribution problems typically found in rarefied gas dynamics (e.g., Barrichello et al, 2001). Over the past two decades, several deterministic and statistical techniques for solving the stationary linear Boltzmann equation (LBE) have been developed and extended to complex multidimensional geometries (e.g., Roy, Hébert, and Marleau, 1989;Forster et al, 2004).…”

Section: Introductionmentioning

confidence: 99%

Derivation of a Physically Based Hybrid Technique for the Solution of Source-Driven Time-Dependent Linear Boltzmann Equations

Picca

Furfaro

Ganapol

2012

Transport Theory and Statistical Physics

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The article presents a novel kinetic method for the solution of time-dependent sourcedriven linear transport problems. As will be discussed, the method is based on a multigeneration representation of linear Boltzmann equations and is derived from physically grounded considerations. The technique is said to be hybrid since it combines together collisionless transport solutions and factorization techniques. The methodology is tested on systems with different scattering properties and shows very promising performance both in terms of accuracy and computational times.

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