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The computation of compressible flows becomes more challenging when the Mach number has different orders of magnitude. When the Mach number is of order one, modern shock capturing methods are able toâ€¦ (More)

- Irene M. Gamba, Jeffrey R. Haack, Cory D. Hauck, Jingwei Hu
- SIAM J. Scientific Computing
- 2017

We propose a simple fast spectral method for the Boltzmann collision operator with general collision kernels. In contrast to the direct spectral method [17, 28] which requires O(N) memory to storeâ€¦ (More)

- Irene M. Gamba, Jeffrey R. Haack
- J. Comput. Physics
- 2014

We present the formulation of a conservative spectral scheme for Boltzmann collision operators with anisotropic scattering mechanisms to model grazing collision limit regimes approximating theâ€¦ (More)

We present new results building on the conservative deterministic spectral method for the space inhomogeneous Boltzmann equation developed by Gamba and Tharkabhushaman. This approach is a twostepâ€¦ (More)

The occurrence of oscillations in a well-known asymptotic preserving (AP) numerical scheme is investigated in the context of a linear model of diffusive relaxation, known as the P1 equations. Theâ€¦ (More)

We present new results building on the conservative deterministic spectral method for the space homogeneous Boltzmann equation developed by Gamba and Tharkabhushaman. This approach is a two-stepâ€¦ (More)

- Alessandro MunafÃ², Jeffrey R. Haack, Irene M. Gamba, Thierry E. Magin
- J. Comput. Physics
- 2014

In this paper a spectral-Lagrangian method for the Boltzmann equation for a multi-energy level gas is proposed. Internal energy levels are treated as separate species and inelastic collisionsâ€¦ (More)

- Irene M. Gamba, Jeffrey R. Haack, SÃ©bastien Motsch
- J. Comput. Physics
- 2015

In this paper we present the first numerical method for a kinetic description of the Vicsek swarming model. The kinetic model poses a unique challenge, as there is a distribution dependent collisionâ€¦ (More)

in Shock Waves by means of a Spectral-Lagrangian Boltzmann Solver Alessandro MunafÃ²âˆ—, Jeffrey R. Haack, Irene M. Gambaâˆ—âˆ— and Thierry E. Maginâˆ— âˆ—Aeronautics/Aerospace department, von Karman Instituteâ€¦ (More)

- Jeffrey R. Haack, Cory D. Hauck, Michael S. Murillo
- Physical review. E
- 2017

We have extended a recently developed multispecies, multitemperature Bhatnagar-Gross-Krook model [Haack et al., J. Stat. Phys. 168, 822 (2017)JSTPBS0022-471510.1007/s10955-017-1824-9], to includeâ€¦ (More)