Application of the Yin‐Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three‐dimensional spherical shell

Yoshida, Masaki; Kageyama, Akira

doi:10.1029/2004gl019970

Cited by 67 publications

(69 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Among these overset grids, the Yin-Yang grid has been applied successfully in simulations of geoscience (Yoshida & Kageyama 2004;Kageyama & Sato 2004;Kageyama 2005). The cubed sphere (Ronchi et al 1996), which constitutes a spherical surface with six non-overlapping components, is another overset grid recently used for the numerical study of mantle convection, thermal convection, and shallow water (Hernlund & Tackley 2003;Choblet 2005;Chen & Xiao 2008).…”

Section: Introductionmentioning

confidence: 99%

“…In order to overcome these problems mentioned above, overset grids (Rai 1986;Steger & Benek 1987;Chesshire & Henshaw 1990;Usmanov 1996;Yoshida & Kageyama 2004;Kageyama & Sato 2004;Kageyama 2005) may be one of the best choices. Among these overset grids, the Yin-Yang grid has been applied successfully in simulations of geoscience (Yoshida & Kageyama 2004;Kageyama & Sato 2004;Kageyama 2005).…”

Section: Introductionmentioning

confidence: 99%

“…Here, motivated by the Yin-Yang grid (Kageyama & Sato 2004;Yoshida & Kageyama 2004;Kageyama 2005), the cubed sphere grid (Ronchi et al 1996), and the successful application of the polyhedron-splitting grid Hu et al 2008;Nakamizo et al 2009), a six-component grid system for solar wind MHD modeling is proposed for our three-dimensional Solar-InterPlanetary Conservation Element/Solution Element (SIP-CESE) MHD model (Feng et al , 2009Hu et al 2008;.…”

Section: Introductionmentioning

confidence: 99%

“…The spherical shell is a key computational domain in both computational geophysics and solar-terrestrial physics (Kageyama & Sato 2004;Kageyama 2005;Yoshida & Kageyama 2004;Usmanov & Dryer 1995;Usmanov 1996;Wu et al 1999;Usmanov & Goldstein 2003;Linker et al 1999;Odstrcil et al 2002;Feng et al 2005;Hayashi 2005;Shen et al 2007). Simulations in these fields such as geodynamo, mantle convection, global circulation of the atmosphere, and space weather modeling from the Sun to Earth are all performed in spherical shell geometry, such as (r, θ, φ) with radius r between some intervals (for example, r 0 r r 1 , 0 θ π , and 0 φ 2π ), if defined in the spherical coordinates.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

THREE-DIMENSIONAL SOLARWINDMODELING FROM THE SUN TO EARTH BY A SIP-CESE MHD MODEL WITH A SIX-COMPONENT GRID

Feng

Yang

Cui

et al. 2010

ApJ

174

144

View full text Add to dashboard Cite

The objective of this paper is to explore the application of a six-component overset grid to solar wind simulation with a three-dimensional (3D) Solar-InterPlanetary Conservation Element/Solution Element MHD model. The essential focus of our numerical model is devoted to dealing with: (1) the singularity and mesh convergence near the poles via the use of the six-component grid system, (2) the ∇ · B constraint error via an easy-to-use cleaning procedure by a fast multigrid Poisson solver, (3) the Courant-Friedrichs-Levy number disparity via the Courant-number insensitive method, (4) the time integration by multiple time stepping, and (5) the time-dependent boundary condition at the subsonic region by limiting the mass flux escaping through the solar surface. In order to produce fast and slow plasma streams of the solar wind, we include the volumetric heating source terms and momentum addition by involving the topological effect of the magnetic field expansion factor f S and the minimum angular distance θ b (at the photosphere) between an open field foot point and its nearest coronal hole boundary. These considerations can help us easily code the existing program, conveniently carry out the parallel implementation, efficiently shorten the computation time, greatly enhance the accuracy of the numerical solution, and reasonably produce the structured solar wind. The numerical study for the 3D steady-state background solar wind during Carrington rotation 1911 from the Sun to Earth is chosen to show the above-mentioned merits. Our numerical results have demonstrated overall good agreements in the solar corona with the Large Angle and Spectrometric Coronagraph on board the Solar and Heliospheric Observatory satellite and at 1 AU with WIND observations.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

THREE-DIMENSIONAL SOLARWINDMODELING FROM THE SUN TO EARTH BY A SIP-CESE MHD MODEL WITH A SIX-COMPONENT GRID

Feng

Yang

Cui

et al. 2010

ApJ

174

144

View full text Add to dashboard Cite

show abstract

“…A remarkable feature of this overset grid is that the two identical component grids are combined in a complemental way with a special symmetry. The Yin-Yang grid has already been applied to a mantle convection simulation in a spherical shell geometry with detailed benchmark tests [21]. The YinYang grid has also been applied to simulations of the global circulation of the atmosphere, ocean, and their coupled system [3,9,14,18,19].…”

Section: Yin-yang Gridmentioning

confidence: 99%

A 15.2 TFlops Simulation of Geodynamo on the Earth Simulator

Kageyama

Kameyama

Fujihara

et al.

Proceedings of the ACM/IEEE SC2004 Conference

View full text Add to dashboard Cite

For realistic geodynamo simulations, one must solve the magnetohydrodynamic equations to follow time development of thermal convection motion of electrically conducting fluid in a rotating spherical shell. We have developed a new geodynamo simulation code by combining the finite difference method with the recently proposed spherical overset grid called Yin-Yang grid. We achieved performance of 15.2 Tflops (46% of theoretical peak performance) on 4096 processors of the Earth Simulator.

show abstract

Effects of the postperovskite phase change on the observed geoid

Shahraki

Schmeling

Kaban

et al. 2015

Geophys. Res. Lett.

View full text Add to dashboard Cite

In the lowermost mantle, seismic velocity variations beneath Pacific margins have been related to the perovskite to postperovskite (pPv) phase transition. We investigate the influence of this phase transformation on the geoid using 3-D spherical mantle circulation models based on a seismic tomography model and strong lateral viscosity variations in the lower mantle. We demonstrate that the geoid anomalies are strongly affected by the presence of pPv because of phase-dependent viscosity changes relative to the surrounding mantle. Whereas geoid heights above subduction zones are increased for high-viscosity pPv, the presence of weak pPv reduces them, thereby improving the fit to the observed geoid. An investigation using two different tomography models, different pPv density contrasts, and the presence or absence of a global thermal boundary layer and of lateral viscosity variations in the lower mantle demonstrates the various effects of weak pPv on the geoid.

show abstract

Application of the Yin‐Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three‐dimensional spherical shell

Cited by 67 publications

References 25 publications

THREE-DIMENSIONAL SOLARWINDMODELING FROM THE SUN TO EARTH BY A SIP-CESE MHD MODEL WITH A SIX-COMPONENT GRID

THREE-DIMENSIONAL SOLARWINDMODELING FROM THE SUN TO EARTH BY A SIP-CESE MHD MODEL WITH A SIX-COMPONENT GRID

A 15.2 TFlops Simulation of Geodynamo on the Earth Simulator

Effects of the postperovskite phase change on the observed geoid

Contact Info

Product

Resources

About