Topic
Spherical geometry
About: Spherical geometry is a research topic. Over the lifetime, 1529 publications have been published within this topic receiving 30026 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper, a suite of seven test cases is proposed for the evaluation of numerical methods intended for the solution of the shallow water equations in spherical geometry, which exhibit the major difficulties associated with the horizontal dynamical aspects of atmospheric modeling on the spherical earth.
916 citations
TL;DR: Reconstruction-based microwave-induced thermoacoustic tomography in a spherical configuration with exact reconstruction solution derived and approximated to a modified backprojection algorithm and demonstrated that the reconstructed images agree well with the original samples.
Abstract: Reconstruction-based microwave-induced thermoacoustic tomography in a spherical configuration is presented. Thermoacoustic waves from biological tissue samples excited by microwave pulses are measured by a wide-band unfocused ultrasonic transducer, which is set on a spherical surface enclosing the sample. Sufficient data are acquired from different directions to reconstruct the microwave absorption distribution. An exact reconstruction solution is derived and approximated to a modified backprojection algorithm. Experiments demonstrate that the reconstructed images agree well with the original samples. The spatial resolution of the system reaches 0.5 mm.
567 citations
TL;DR: In this article, the authors present the extension of the NextGen model atmosphere grid to the regime of giant stars and discuss the effects of spherical geometry on the structure of the atmospheres and the emitted spectra.
Abstract: We present the extension of our NextGen model atmosphere grid to the regime of giant stars. The input physics of the models presented here is nearly identical to that of the NextGen dwarf atmosphere models; however, spherical geometry is used self-consistently in the model calculations (including the radiative transfer). We revisit the discussion of the effects of spherical geometry on the structure of the atmospheres and the emitted spectra and discuss the results of non-LTE calculations for a few selected models.
565 citations
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ENEA1
TL;DR: In this article, a new gridding technique for the solution of partial differential equations in spherical geometry is presented, based on a decomposition of the sphere into six identical regions, obtained by projecting the sides of a circumscribed cube onto a spherical surface.
473 citations
TL;DR: In this article, a detailed parametric investigation is performed for melting in spherical shells of 40, 60, and 80mm in diameter, when the wall-temperature is uniform and varies from 2 ÂC to 20 Â C above the mean melting temperature of the PCM.
472 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 1 |
| 2024 | 5 |
| 2023 | 8 |
| 2022 | 22 |
| 2021 | 40 |
| 2020 | 51 |