Richard Vasques
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View article: An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm
An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm Open
This paper presents an initial study of the convergence properties of an iterative algorithm for computing the burnup distribution in a pebble bed reactor (PBR) in its equilibrium core condition. The algorithm is implemented in the Griffin…
View article: An improved spectral approach for solving the nonclassical neutron particle transport equation
An improved spectral approach for solving the nonclassical neutron particle transport equation Open
An improvement modification of the Spectral Approach (SA) used for approximating the nonclassical neutral particle transport equation is described in this work. The main focus of the modified SA lies on a slight modification of the nonclas…
View article: Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral S$_N$ Equations in Slab Geometry
Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral S$_N$ Equations in Slab Geometry Open
The nonclassical transport equation models particle transport processes in which the particle flux does not decrease as an exponential function of the particle's free-path. Recently, a spectral approach was developed to generate nonclassic…
View article: Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral S$_N$ Equations in Slab Geometry
Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral S$_N$ Equations in Slab Geometry Open
The nonclassical transport equation models particle transport processes in which the particle flux does not decrease as an exponential function of the particle's free-path. Recently, a spectral approach was developed to generate nonclassic…
View article: Asymptotic Derivation of the Simplified <i>P<sub>N</sub></i> Equations for Nonclassical Transport with Anisotropic Scattering
Asymptotic Derivation of the Simplified <i>P<sub>N</sub></i> Equations for Nonclassical Transport with Anisotropic Scattering Open
In nonclassical transport, the free-path length variable s is modeled as an independent variable, and a nonclassical linear Boltzmann transport equation incorporating s has been derived. To model transport in diffusive regimes, the simplif…
View article: Nonlinear Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry
Nonlinear Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry Open
This paper introduces a nonlinear acceleration technique that accelerates the convergence of solution of transport problems with highly forward-peaked scattering. The technique is similar to a conventional high-order/low-order (HOLO) accel…
View article: Asymptotic Derivation of the Simplified $P_N$ Equations for Nonclassical Transport with Anisotropic Scattering
Asymptotic Derivation of the Simplified $P_N$ Equations for Nonclassical Transport with Anisotropic Scattering Open
This paper introduces new asymptotic analysis used to derive the set of simplified nonclassical $P_N$ equations with anisotropic scattering.
View article: Asymptotic Derivation of the Simplified $P_N$ Equations for Nonclassical\n Transport with Anisotropic Scattering
Asymptotic Derivation of the Simplified $P_N$ Equations for Nonclassical\n Transport with Anisotropic Scattering Open
This paper introduces new asymptotic analysis used to derive the set of\nsimplified nonclassical $P_N$ equations with anisotropic scattering.\n
View article: One-Way Coupled Tumor Response Model for Combined-Hyperthermia-Radiotherapy Treatment with Anisotropic Scattering
One-Way Coupled Tumor Response Model for Combined-Hyperthermia-Radiotherapy Treatment with Anisotropic Scattering Open
Therapies such as combined-hyperthermia-radiotherapy (CHR) take advantage of excellent radiosensitization properties of hyperthermia and treat of tumors with both radiation and heat. To appropriately model a CHR treatment, features like tu…
View article: Solver Recommendation For Transport Problems in Slabs Using Machine Learning
Solver Recommendation For Transport Problems in Slabs Using Machine Learning Open
The use of machine learning algorithms to address classification problems is on the rise in many research areas. The current study is aimed at testing the potential of using such algorithms to auto-select the best solvers for transport pro…
View article: Towards a Multiphysics Model for Tumor Response to Combined-Hyperthermia-Radiotherapy Treatment
Towards a Multiphysics Model for Tumor Response to Combined-Hyperthermia-Radiotherapy Treatment Open
We develop a multiphysics-based model to predict the response of localized tumors to combined-hyperthermia-radiotherapy (CHR) treatment. This procedure combines hyperthermia (tumor heating) with standard radiotherapy to improve efficacy of…
View article: Towards a multiphysics model for tumor response to combined-hyperthermia-radiotherapy treatment
Towards a multiphysics model for tumor response to combined-hyperthermia-radiotherapy treatment Open
We develop a multiphysics-based model to predict the response of localized tumors to combined-hyperthermia-radiotherapy (CHR) treatment. This procedure combines hyperthermia (tumor heating) with standard radiotherapy to improve efficacy of…
View article: One-Way Coupled Tumor Response Model for Combined-Hyperthermia-Radiotherapy Treatment with Anisotropic Scattering
One-Way Coupled Tumor Response Model for Combined-Hyperthermia-Radiotherapy Treatment with Anisotropic Scattering Open
Therapies such as combined-hyperthermia-radiotherapy (CHR) take advantage of excellent radiosensitization properties of hyperthermia and treat of tumors with both radiation and heat. To appropriately model a CHR treatment, features like tu…
View article: Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering
Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering Open
An asymptotic analysis is used to derive a set of diffusion approximations to the nonclassical transport equation with isotropic scattering. These approximations are shown to reduce to the simplified P$_N$ equations under the assumption of…
View article: Nonclassical Particle Transport in the 1-D Diffusive Limit
Nonclassical Particle Transport in the 1-D Diffusive Limit Open
This paper provides numerical results that demonstrate the validity of the nonclassical diffusion approximation to the nonclassical transport equation in certain 1-D diffusive systems. This result provides a more solid foundation in which …