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This document presents a comprehensive overview of various wave phenomena, including water waves, longitudinal waves, transverse waves, and shock waves, studied at the University of Sheffield's Department of Applied Mathematics. It highlights the impact of solar dynamics on these wave types, particularly in helioseismology, solar storms, and magnetic loops. The research encompasses over 100,000 pulsation modes and utilizes data from the MDI to measure frequencies. This study aims to deepen the understanding of wave behavior in both terrestrial water systems and solar atmospheric conditions.
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AMA349 Examples for waves Robert von Fáy-Siebenbürgen Robertus@sheffield.ac.uk SPARG, Department of Applied Mathematics, The University of Sheffield (UK) http://www.shef.ac.uk/~robertus University of Sheffield
Water waves University of Sheffield
Water waves University of Sheffield
Longitudinal waves University of Sheffield
Transverse waves University of Sheffield
Shock waves University of Sheffield
Sonic boom University of Sheffield
The dynamic Sun Movie: SOHO/EIT (ESA/NASA) University of Sheffield
Helioseismology • more than 100,000 pulsation modes • single mode • three modes • many modes University of Sheffield
Helioseismology • n=14 (radial nodes) • m=16 (poloidal nodes) • l=20 (spherical harmonic degree) • The frequency of this mode determined from the MDI data is 2935.88 0.2 µHz. University of Sheffield
Helioseismology University of Sheffield
Photosphere: sunspots University of Sheffield
Running penumbral waves University of Sheffield
Solar storms: Sun quakes • Solar quakes: high energy electrons slam the solar surface University of Sheffield
Solar storms: Sun quakes • Solar quakes: high energy electrons slam the solar surface University of Sheffield
Chromospheric spicules spicules University of Sheffield
Earth Peter & von der Lühe (1999) Earth Solar spicules (tornadoes) (BBSO) University of Sheffield
Solar spicules (tornadoes) University of Sheffield
Moreton waves University of Sheffield
Coronal loops University of Sheffield
Coronal loops by TRACE University of Sheffield
Solar atmospheric oscillations SOHO/TRACE examples University of Sheffield
Solar atmospheric oscillations • TRACE:Loop oscillation excited by M4.6 flare (14 July 1998) Movie in TRACE 171 A University of Sheffield
Surfing magnetic loops • Difference image in brightness out from the loop base University of Sheffield
Space Weather University of Sheffield
The end University of Sheffield