2002
DOI: 10.1086/342754
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Mapping Initial Hydrostatic Models in Godunov Codes

Abstract: We look in detail at the process of mapping an astrophysical initial model from a stellar evolution code onto the computational grid of an explicit, Godunov type code while maintaining hydrostatic equilibrium. This mapping process is common in astrophysical simulations, when it is necessary to follow short-timescale dynamics after a period of long timescale buildup. We look at the effects of spatial resolution, boundary conditions, the treatment of the gravitational source terms in the hydrodynamics solver, an… Show more

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Cited by 109 publications
(111 citation statements)
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References 18 publications
(17 reference statements)
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“…For Rusanov or local LaxFriedrichs type Riemann solvers, Käppeli et al (2011) have subtracted the gradients induced by gravity in the dissipative flux terms. Yet another strategy for finite volume schemes is to introduce a subgrid model which incorporates the stationary state into the reconstruction process, see, e.g., Freytag et al (2012), Mellema et al (1991), Zingale et al (2002). Greenberg & Leroux (1996) introduced the concept of a well-balanced scheme, i.e., a scheme which satisfies exactly a discrete equivalent of an underlying stationary state.…”
Section: Introductionmentioning
confidence: 99%
“…For Rusanov or local LaxFriedrichs type Riemann solvers, Käppeli et al (2011) have subtracted the gradients induced by gravity in the dissipative flux terms. Yet another strategy for finite volume schemes is to introduce a subgrid model which incorporates the stationary state into the reconstruction process, see, e.g., Freytag et al (2012), Mellema et al (1991), Zingale et al (2002). Greenberg & Leroux (1996) introduced the concept of a well-balanced scheme, i.e., a scheme which satisfies exactly a discrete equivalent of an underlying stationary state.…”
Section: Introductionmentioning
confidence: 99%
“…In addition to conservation laws, some physical processes, such as nuclear burning, are very sensitive to temperature, so errors in mapping can lead to very different outcomes for the simulations, including altering the nucleosynthesis and energetics of SNe. [46] has examined mapping 1D profiles to 2D or 3D meshes under a hydro equilibrium status and [47] has developed a new mapping scheme to conservatively map the 1D initial conditions onto multidimensional zones.…”
Section: Mappingmentioning
confidence: 99%
“…Consider an ideal gas with γ = 1.4 and the linear gravitational field φ x = φ y = g. The isothermal equilibrium state under consideration takes the form of 6) with the parameters ρ 0 = 1.21, p 0 = 1 and g = 1.…”
Section: Two Dimensional Isothermal Equilibrium Solutionmentioning
confidence: 99%
“…A Riemann problem is introduced in the center of each grid cell such that the flux difference exactly cancels the source term. Zingale et al [6] investigated the process of mapping an astrophysical initial model from a stellar evolution code onto the computational grid of an explicit code while maintaining hydrostatic equilibrium. A different strategy for the construction of well-balanced discretizations with respect to dominant hydrostatics has been proposed by Botta et al [5] for the nearly hydrostatic flows belonging to a certain class of solutions.…”
Section: Introductionmentioning
confidence: 99%