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Papers by Natalia Vladimirova

Research paper thumbnail of Model flames in the Boussinesq limit: The effects of feedback

Physical review, Jun 16, 2003

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Research paper thumbnail of Logarithmic-type Scaling of the Collapse of Keller-Segel Equation

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics, 2011

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Research paper thumbnail of Turbulence Appearance and Nonappearance in Thin Fluid Layers

Physical Review Letters, Oct 16, 2018

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Research paper thumbnail of Non-Gaussian statistics of multiple filamentation

Optics Letters, Jun 3, 2010

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Research paper thumbnail of Collapse Turbulence in Nonlinear Schrödinger Equation

AIP Conference Proceedings, 2009

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Research paper thumbnail of Emerging scale invariance in a model of turbulence of vortices and waves

Philosophical Transactions of the Royal Society A, Jan 17, 2022

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Research paper thumbnail of Mapping Initial Hydrostatic Models in Godunov Codes

Astrophysical Journal Supplement Series, Dec 1, 2002

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Research paper thumbnail of Logarithmic scaling of the collapse in the critical Keller–Segel equation

Nonlinearity, Oct 18, 2013

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Research paper thumbnail of Turbulence of Capillary Waves on Shallow Water

Fluids, May 13, 2021

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Research paper thumbnail of Toward Defeating Diffraction and Randomness for Laser Beam Propagation in Turbulent Atmosphere

Jetp Letters, Oct 30, 2018

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Research paper thumbnail of Flame Energetics and the Deflagration Phase of Type Ia Supernovae

American Astronomical Society Meeting Abstracts #208, Jun 1, 2006

ABSTRACT The enormous (1012) range in the spatial scales encountered in the thermonuclear deflagr... more ABSTRACT The enormous (1012) range in the spatial scales encountered in the thermonuclear deflagration stage of a Type Ia supernova mandates the use of a model to describe burning on unresolved scales. A realistic model must accurately describe (1) the nuclear energy that is released, (2) the timescale on which it is released, and (3) compositional changes occurring in the flame. Building on the thick flame model of Khokhlov (1995), we have developed a three-stage burning model (involving carbon fusion, burning to Si-group, and finally relaxation to NSE). In this poster, we present details of and simulations with this new three-stage burning model. We utilize self-heating network calculations of nuclear burning to quantify the energies that are released and the timescales on which the energies are released. We use tabulated results from a nuclear statistical equilibrium (NSE) code for describing the state of the evolving ash in NSE and addressing the effects of neutronization. The reaction network includes up-to-date thermonuclear reaction rates, weak interaction rates, effects of electron screening, and nuclear partition functions, and has been shown to be consistent with the NSE method. We have initiated a study with the improved energetics exploring the effect of the initial conditions on the deflagration phase. In particular, we present the results of two-dimensional simulations in which we vary the off-set distance of a single ignition spot from the center of the white dwarf.This work was supported by the U.S. Department of Energy under grant No. B523820 to the Center for Astrophysics Flashes and by the National Science Foundation under grant PHY 02-16783 to the Joint Institute for Nuclear Astrophysics and grant AST-0507456.

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Research paper thumbnail of Logarithmic Scaling of Catastrophic Collapse

arXiv (Cornell University), Aug 22, 2012

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Research paper thumbnail of Type Ia Supernovae: An Asymmetric Deflagration Model

arXiv (Cornell University), May 7, 2004

We present the first high-resolution three-dimensional simulations of the deflagration phase of T... more We present the first high-resolution three-dimensional simulations of the deflagration phase of Type Ia supernovae that treat the entire massive white dwarf. We report the results of simulations in which ignition of the nuclear burning occurs slightly off-center. The subsequent evolution of the nuclear burning is surprisingly asymmetric with a growing bubble of hot ash rapidly rising to the stellar surface. Upon reaching the surface, the mass of burned material is approx0.075Msun\approx 0.075 M_\sunapprox0.075Msun and the kinetic energy is 4.3times10494.3 \times 10^{49}4.3times1049 ergs. The velocity of the top of the rising bubble approaches 8000 km s$^{-1}$. The amount of the asymmetry found in the model offers a natural explanation for the observed diversity in Type Ia supernovae. Our study strongly disfavors the classic central-ignition pure deflagration scenario by showing that the result is highly sensitive to details of the initial conditions.

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Research paper thumbnail of Nonlinear combining of laser beams

Optics Letters, Jun 4, 2014

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Research paper thumbnail of Flame enhancement and quenching in fluid flows

Combustion Theory and Modelling, Sep 1, 2003

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Research paper thumbnail of Simulations of Rising Hydrodynamic and Magnetohydrodynamic Bubbles

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Research paper thumbnail of Vlasov multi-dimensional model dispersion relation

Physics of Plasmas, Jul 1, 2014

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Research paper thumbnail of Modeling of nonlinear combining of multiple laser beams in Kerr medium

Optics Express, Nov 20, 2015

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Research paper thumbnail of Multimode correlations and the entropy of turbulence in shell models

Physical Review E

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Research paper thumbnail of Multi-mode correlations and the entropy of turbulence

arXiv (Cornell University), Sep 13, 2022

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Research paper thumbnail of Model flames in the Boussinesq limit: The effects of feedback

Physical review, Jun 16, 2003

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Research paper thumbnail of Logarithmic-type Scaling of the Collapse of Keller-Segel Equation

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics, 2011

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Research paper thumbnail of Turbulence Appearance and Nonappearance in Thin Fluid Layers

Physical Review Letters, Oct 16, 2018

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Research paper thumbnail of Non-Gaussian statistics of multiple filamentation

Optics Letters, Jun 3, 2010

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Research paper thumbnail of Collapse Turbulence in Nonlinear Schrödinger Equation

AIP Conference Proceedings, 2009

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Research paper thumbnail of Emerging scale invariance in a model of turbulence of vortices and waves

Philosophical Transactions of the Royal Society A, Jan 17, 2022

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Research paper thumbnail of Mapping Initial Hydrostatic Models in Godunov Codes

Astrophysical Journal Supplement Series, Dec 1, 2002

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Research paper thumbnail of Logarithmic scaling of the collapse in the critical Keller–Segel equation

Nonlinearity, Oct 18, 2013

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Research paper thumbnail of Turbulence of Capillary Waves on Shallow Water

Fluids, May 13, 2021

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Research paper thumbnail of Toward Defeating Diffraction and Randomness for Laser Beam Propagation in Turbulent Atmosphere

Jetp Letters, Oct 30, 2018

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Research paper thumbnail of Flame Energetics and the Deflagration Phase of Type Ia Supernovae

American Astronomical Society Meeting Abstracts #208, Jun 1, 2006

ABSTRACT The enormous (1012) range in the spatial scales encountered in the thermonuclear deflagr... more ABSTRACT The enormous (1012) range in the spatial scales encountered in the thermonuclear deflagration stage of a Type Ia supernova mandates the use of a model to describe burning on unresolved scales. A realistic model must accurately describe (1) the nuclear energy that is released, (2) the timescale on which it is released, and (3) compositional changes occurring in the flame. Building on the thick flame model of Khokhlov (1995), we have developed a three-stage burning model (involving carbon fusion, burning to Si-group, and finally relaxation to NSE). In this poster, we present details of and simulations with this new three-stage burning model. We utilize self-heating network calculations of nuclear burning to quantify the energies that are released and the timescales on which the energies are released. We use tabulated results from a nuclear statistical equilibrium (NSE) code for describing the state of the evolving ash in NSE and addressing the effects of neutronization. The reaction network includes up-to-date thermonuclear reaction rates, weak interaction rates, effects of electron screening, and nuclear partition functions, and has been shown to be consistent with the NSE method. We have initiated a study with the improved energetics exploring the effect of the initial conditions on the deflagration phase. In particular, we present the results of two-dimensional simulations in which we vary the off-set distance of a single ignition spot from the center of the white dwarf.This work was supported by the U.S. Department of Energy under grant No. B523820 to the Center for Astrophysics Flashes and by the National Science Foundation under grant PHY 02-16783 to the Joint Institute for Nuclear Astrophysics and grant AST-0507456.

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Research paper thumbnail of Logarithmic Scaling of Catastrophic Collapse

arXiv (Cornell University), Aug 22, 2012

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Research paper thumbnail of Type Ia Supernovae: An Asymmetric Deflagration Model

arXiv (Cornell University), May 7, 2004

We present the first high-resolution three-dimensional simulations of the deflagration phase of T... more We present the first high-resolution three-dimensional simulations of the deflagration phase of Type Ia supernovae that treat the entire massive white dwarf. We report the results of simulations in which ignition of the nuclear burning occurs slightly off-center. The subsequent evolution of the nuclear burning is surprisingly asymmetric with a growing bubble of hot ash rapidly rising to the stellar surface. Upon reaching the surface, the mass of burned material is approx0.075Msun\approx 0.075 M_\sunapprox0.075Msun and the kinetic energy is 4.3times10494.3 \times 10^{49}4.3times1049 ergs. The velocity of the top of the rising bubble approaches 8000 km s$^{-1}$. The amount of the asymmetry found in the model offers a natural explanation for the observed diversity in Type Ia supernovae. Our study strongly disfavors the classic central-ignition pure deflagration scenario by showing that the result is highly sensitive to details of the initial conditions.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Nonlinear combining of laser beams

Optics Letters, Jun 4, 2014

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Research paper thumbnail of Flame enhancement and quenching in fluid flows

Combustion Theory and Modelling, Sep 1, 2003

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Research paper thumbnail of Simulations of Rising Hydrodynamic and Magnetohydrodynamic Bubbles

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Vlasov multi-dimensional model dispersion relation

Physics of Plasmas, Jul 1, 2014

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Research paper thumbnail of Modeling of nonlinear combining of multiple laser beams in Kerr medium

Optics Express, Nov 20, 2015

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Research paper thumbnail of Multimode correlations and the entropy of turbulence in shell models

Physical Review E

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Research paper thumbnail of Multi-mode correlations and the entropy of turbulence

arXiv (Cornell University), Sep 13, 2022

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