3 citations · 10 across the 8 of their papers we have counts for
9 papers
A Method for Finding Exact Solutions to the 2D and 3D Euler-Boussinesq Equations in Lagrangian Coordinates
Tomi Saleva, Jukka Tuomela
We study the Boussinesq approximation for the incompressible Euler equations using Lagrangian description. The conditions for the Lagrangian fluid map are derived in this setting,…
Explicit solutions to the 3D incompressible Euler equations in Lagrangian formulation
Tomi Saleva, Jukka Tuomela
We introduce many families of explicit solutions to the three dimensional incompressible Euler equations for nonviscous fluid flows using the Lagrangian framework. Almost no exact…
On the explicit solutions of separation of variables type for the incompressible 2D Euler equations
Tomi Saleva, Jukka Tuomela
We study explicit solutions to the 2 dimensional Euler equations in the Lagrangian framework. All known solutions have been of the separation of variables type, where time and spac…
On some classes of Riemannian manifolds
Maryam Samavaki, Jukka Tuomela
We study several classes of Riemannian manifolds which are defined by imposing a certain condition on the Ricci tensor. We consider the following cases: Ricci recurrent, Cotton, qu…
On the numerical computation of Killing and conformally Killing vector fields on compact Riemannian manifolds
Gaëlle Brunet, Maryam Samavaki, Jukka Tuomela
The defining equations for Killing vector fields and conformal Killing vector fields are overdetermined systems of PDE. This makes it difficult to solve the systems numerically. We…
Navier-Stokes equations on Riemannian manifolds
Maryam Samavaki, Jukka Tuomela
We study properties of the solutions to Navier-Stokes system on compact Riemannian manifolds. The motivation for such a formulation comes from atmospheric models as well as some th…
2d incompressible Euler equations: new explicit solutions
Jukka Tuomela, María J. Martín
There are not too many known explicit solutions to the 2-dimensional incompressible Euler equations in Lagrangian coordinates. Special mention must be made of the well-known ones d…
On the simulation of multibody systems with holonomic constraints
Jukka Tuomela, Teijo Arponen, Villesamuli Normi
We use Lagrangian formalism and jet spaces to derive a computational model to simulate multibody dynamics with holonomic constraints. Our approach avoids the traditional problems o…
Analysing singularities of a benchmark problem
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
The purpose of this paper is to analyze the singularities of a well known benchmark problem ``Andrews' squeezing mechanism''. We show that for physically relevant parameter values…