A. Alvarez-Laguna, T. P. Moment methods for the 3D radiative transfer equation based on phi-divergences computer methods, in progress.
A. Loison, T. P., S. Kokh, M. Massot, A two-scale two-phase flow model with capillarity and mass transfer between scales, in progress.
K. Ait-Ameur, S. Kokh, M. Massot, T.P., On limitation techniques for dicontinuous Galerkin applied to moment equation for polydisperse flows, under review, link.
A. Loison, T. P., S. Kokh, M. Massot, Two-scale modelling of two-phase flows based on the Stationary Action Principle and a Geometric Method Of Moments, under review, link.
K. Ait-Ameur, A. Loison, T. P., M. Massot, Simulation of polydisperse oscillating droplets with kinetic schemes for geometric moment equations, under review.
L. Reboul, T. P., M. Massot, Second-order asymptotic preserving schemes for nonlinear hyperbolic balance laws with stiff relaxation source term, under review, link.
Articles
M. Abdelmalik, Z. Cai, T. P., On the Renormalization Maps for the φ-Divergence Moment Closures Applied in Radiative Transfer, J. Comput. Theor. Transport, 52(6), 2023, pp. 399-428, link.
M. Abdelmalik, Z. Cai, T. P., Moment methods for the 3D radiative transfer equation based on phi-divergences, Comput. Meth. Appl. Mech. Eng., 417(A), 2023, link.
K. Ait-Ameur, S. Kokh, M. Pelanti, M. Massot, T.P., An acoustic-transport splitting method for the barotropic Baer-Nunziato two-phase flow model, ESAIM: Proceeding and surveys, 72, 2023, pp. 94-116, link.
T. P., A moment closure based on a projection on boundary of the realizability domain: Analysis and extension, Kin. Rel. Mod., 15(5), 2022, pp. 793-822, link.
T. P., N. Aguillon, B. Després, E. Godlewski, M. Ndjinga, Existence and uniqueness of generalized solutions to hyperbolic system with linear fluxes and stiff sources, J. Hyp. Diff. Eq., 18(3), 2021, pp. 653-700, link
T. P., A moment closure based on a projection on boundary of the realizability domain: 1D case, Kin. Rel. Mod., 13(6), 2020, pp. 1243-1280, link
A. Alvarez-Laguna, T. P., T. Magin, P. Chabert, A. Bourdon, M. Massot, An asymptotic preserving well-balanced scheme for the isothermal fluid equation in low-temperature plasma applications, J. Comput. Phys., 419, 2020, pp. 1-29, link
T. P., S. Brull and B. Dubroca, A numerical approach for a system of transport equations in the field of radiotherapy, Commun. Comput. Phys., 25(4), 2018, pp. 1097-1126, pdf
G. Birindelli, J.-L. Feugeas, J. Caron, B. Dubroca, G. Kantor, J. Page, T. P., V. T. Tikhonchuk, and Ph. Nicolaï, High performance modelling of the transport of energetic particles for photon radiotherapy, Phys. Med., spec. issue SFPM 2016 conference, 42, 2017, pp. 305-312, link
T. P., G. W. Alldredge, S. Brull, B. Dubroca and M. Frank, An approximation of the M2 closure: Application in radiotherapy dose simulation, J. Sci. Comput., 71(1) 2017, pp. 71-108, pdf
T. P., D. Aregba-Driollet, S. Brull, B. Dubroca and M. Frank, Relaxation schemes for the M1 model with space-dependent flux: Application to radiotherapy dose calculation, Commun. Comput. Phys., 19(01), 2016, pp. 168-191, pdf
J. Caron, J.-L. Feugeas, B. Dubroca, G. Kantor, C. Dejean, T. P., Ph. Nicolai, E. D'Humières, M. Frank, V. Tikhonchuk, Deterministic model for the transport of energetic particles: Application in the electron radiotherapy, Phys. Medica, 31(8), 2015, pp. 912-921, link
Actes de conférences
T. P., Some recent advances on the method of moments in kinetic theory, accepted as Proc. SMAI 2021, link.
L. Reboul, T. P., M. Massot, A simple second-order Implicit-Explicit asymptotic preserving scheme for the Hyperbolic Heat equations, accepted as Proc. RGD32, link
T. P., On the discretization of discontinuous sources of hyperbolic balance laws, Proc. ECCOMAS 2022, link
T. P., Existence of steady two-phase flows with discontinuous boiling effects, Proc. HYP conf. 2018, AIMS on Appl. Math., 10, pp. 603-610, pdf
T. P., S. Brull, B. Dubroca and M. Frank, On the transverse diffusion of beams of photons in radiation therapy, Proc. HYP conf. 2016, Springer, pp. 465-477, pdf
T. P., G. W. Alldredge, S. Brull, B. Dubroca and M. Frank, The M2 model for dose simulation in radiationtherapy, Proc. 24th Int. Conf. on Transport Theory, J. Comput. Theor. Transport, 45(3), 2016, pp 174-183, pdf
T. P., D. Aregba-Driollet, S. Brull, B. Dubroca and M. Frank, Relaxation schemes for the M1 model with space-dependent flux: Application to radiotherapy dose calculation, Proc. M&C+SNA+MC conf., 2015, pdf