Tidal dissipation in stars and planets: simulations from first principles

Lead Research Organisation: University of Leeds
Department Name: Applied Mathematics

Abstract

Many extrasolar planets orbit their stars in only a few Earth days. At such close distances, gravitational tidal interactions can play an important role in modifying planetary orbits and stellar and planetary spins. The timescales for these evolutionary processes depend on how efficiently the kinetic energy of tidal flows is dissipated inside stars and planets, but this is not well understood theoretically. This project is computational in nature and will involve first principles numerical simulations, employing state-of-the-art algorithms on high-performance computers, to explore the mechanisms of tidal dissipation in the fluid layers of stars and planets. In particular, I propose to investigate the interaction between tidal flows and turbulent convective flows in rotating stars, and the mechanisms that lead to alignment of the stellar (and planetary) spin and the planetary orbit. The results from these simulations will be used to interpret astrophysical observations and to make predictions, for example, of the rotation rates of planet-hosting stars, and of possible orbital decay of the shortest-period planets that transit in front of their stars. These predictions can be tested by future observations using e.g. SuperWASP, NGTS, CHEOPS, TESS and PLATO.

Planned Impact

The study of extrasolar planetary systems, and its relation to the possibility of life existing elsewhere in the Universe, has a significant cultural impact. More generally, the British public has a great deal of interest in astronomy, as evidenced by the more than 200 amateur astronomical societies. I propose to give talks to local astronomy societies, where I will endeavour to convey the many exciting observational advances in the field of extrasolar planets over the past two decades, along with some of my research results. I will also give talks in local schools, to students between the ages of 11 and 18, incorporating some of my research interests into the talks. This is a very important means of inspiring the next generation of scientists.

STFC recognises three ways of maximising the impact of its investment for the benefit of the United Kingdom and its people - world-class research, world-class innovation and world-class skills. This project, and the research undertaken in the group, qualifies on all three counts, in terms of the astrophysical research itself, the possible innovation of fundamentally new numerical methods (which may also be useful in areas outside astrophysics), and the training of Postdocs and PhD students in utilising high-performance computing skills (which are enormously useful in many areas outside astrophysics).

Publications

10 25 50
 
Description This research primarily studied the interaction of flows excited by gravitational tidal forcing in rotating stars and planets with convective flows in the convection zones of these bodies. This is essential to understand the orbital and rotational properties of many extrasolar planets and binary stars, which have been determined observationally but many aspects are not theoretically understood. This project, including the numerical simulations and analysis of the interactions of tidal flows and convection, as well as the extrapolation of these results to make astrophysical predictions, has advanced our understanding of this mechanism of tidal dissipation and resulted in a better understanding of the interaction between tidal flows and convection. The results have been taken forward by others in the community in addition to ourselves, and led to a number of follow-on studies.
Exploitation Route This research has already led to a number of follow-on funding awards to continue along this line of research. It has also led to a number of follow-up studies and those that use the numerical and computational methods developed as part of this project.
Sectors Education,Other

 
Description The research undertaken and completed within the timeframe of this project has had an impact on the research area, leading to a number of follow-up studies.
First Year Of Impact 2021
 
Description Astrophysics Consolidated Grant
Amount £810,207 (GBP)
Funding ID ST/W000873/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 04/2022 
End 03/2026
 
Description Astrophysics Consolidated Grant
Amount £672,905 (GBP)
Funding ID ST/S000275/1 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 04/2019 
End 03/2022
 
Description Tidal dissipation in giant planets containing regions of layered semi-convection
Amount £0 (GBP)
Funding ID 2024753 
Organisation Science and Technologies Facilities Council (STFC) 
Sector Public
Country United Kingdom
Start 01/2018 
End 06/2021
 
Title SHINE: Solver for Hydromagnetic INviscid modes in Ellipsoids 
Description SHINE is a numerical code to compute the global diffusionless hydromagnetic eigenmodes of incompressible or compressible fluids in co-rotating triaxial ellipsoids. SHINE handles polynomial and ellipsoidal perturbations of unprecedented spatial complexity. 
Type Of Technology Software 
Year Produced 2020 
Open Source License? Yes  
Impact It has been used in multiple publications. 
URL https://bitbucket.org/vidalje/shine/src/master/
 
Title SIREN: Stability with IneRtial eigENmodes 
Description SIREN is a numerical code to explore the global, linear stability of incompressible, inviscid basic flows linear in Cartesian space coordinates, enclosed within arbitrary triaxial ellipsoids subjected to harmonic forcings (e.g. tides, precession). 
Type Of Technology Software 
Year Produced 2018 
Open Source License? Yes  
Impact It has been used in multiple publications. 
URL https://bitbucket.org/vidalje/siren/wiki/Home
 
Title SWAN: Short-Wavelength stability ANalysis 
Description SWAN probes the linear hydromagnetic stability of generic Boussinesq basic states (but expressed in the Cartesian coordinates), by considering short-wavelength perturbations. 
Type Of Technology Software 
Year Produced 2020 
Open Source License? Yes  
Impact It has been used in multiple publications. 
URL https://bitbucket.org/vidalje/swan/src/master/
 
Title Spherical INertia-Gravity Eigenmodes (SINGE) 
Description SINGE solves the rotating, double-diffusive Boussinesq, equations for viscous fluids, with various different boundary conditions (no slip / stress-free for the velocity field, vanishing Dirichlet or Neumann conditions for the scalar fields). It uses a parallel pseudo-spectral approach in spherical geometry. The velocity field is projetcted onto poloidal and toroidal scalars, which are expanded on spherical harmonics in the angular directions and finite differences on an irregular mesh in the radial direction. 
Type Of Technology Software 
Year Produced 2019 
Open Source License? Yes  
Impact It has been used by multiple institutions worldwide and in more than 5 publications to date. 
URL https://bitbucket.org/vidalje/singe/src/default/
 
Description Invited outreach interview with Faculti.net 
Form Of Engagement Activity A press release, press conference or response to a media enquiry/interview
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Invited outreach interview for Faculti.net describing the results of the journal article "Tidal dissipation in evolving low-mass and solar-type stars with predictions for planetary orbital decay" published in Monthly Notices of the Royal Astronomical Society (2020,498, 2270).
Year(s) Of Engagement Activity 2021
URL https://faculti.net/scicat/natsci/phy/
 
Description Leeds Mathematics Sixth Form Conference 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact Annual talk about my research on "Tidal flows in extrasolar planets" at the Leeds School of Mathematics Sixth Form Conference. This has approximately 100 pupils who attend a 3 day course in Leeds to introduce them to a Mathematics degree, and to the possible applications of Mathematics degrees to exciting research problems. A good number of these pupils subsequently applied for Mathematics (and Physics) degrees at Leeds and elsewhere. All of these talks have stimulated many questions from the attendees.
Year(s) Of Engagement Activity 2018,2019,2020
 
Description Quantum Sauce "Pub Talk": The Impossible Planet: How to Save Extrasolar Planets from Tidal Destruction 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact Quantum Sauce "Pub Talk": The Impossible Planet: How to Save Extrasolar Planets from Tidal Destruction, The Constitutional, Farsley, Leeds, 18th Nov 2021
Year(s) Of Engagement Activity 2021
URL https://theconstitutional.co.uk/event/4337184/566004116/quantum-sauce-doctor-in-the-tardis
 
Description School visit (Bradford Grammar School) 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Schools
Results and Impact Approximately 20 Sixth-Form pupils attended a talk on "Tidal flows in extrasolar planets" at Bradford Grammar School in December 2018. This was an outreach talk designed to introduce my research and excite the interests of Sixth-Form pupils that are part of their Mathematics Society. Several of these pupils have subsequently applied to study degrees in Mathematics and Physics, including at University of Leeds.
Year(s) Of Engagement Activity 2018