Stardis The Monte-Carlo solver for coupled thermal problems

Stardis computes the propagator (aka the Green function) of coupled thermal systems under the linear assumption. Here coupled refers to conductive, convective and radiative transfers, and linear means that each modeled phenomena is represented using a model that is linear with temperature. Stardis can deal with complex geometries as well as high-frequency external solicitations over a very long period of time, relative to the characteristic time of the system.

Stardis does not compute temperature fields as a whole. It is designed to compute specific observables such as temperatures at probe points / dates or the mean temperature in a specific volume / period of time. In addition to temperature values, Stardis gives access to an evaluation of the propagator. The propagator is of great value for thermicist engineers as it gives some crucial information to analyse heat transfers in the system. It helps engineers answer questions like "Where from does the heat come at this location?". Propagators seamlessly agregate all the provided geometrical and physical information on the system in an unbiased and very-fast statistical model.

Stardis' algorithms are based on state-of-the-art Monte-Carlo method applied to radiative transfer physics (Delatorre [1]) combined with conduction's statistical formulation (Kac [2] and Muller [3]). Thanks to recent advances in computer graphics technology which has already been a game changer in the cinema industry (FX and animated movies), this theoretical framework can now be practically used on the most geometrically complex models. While this capability is part of the StarEngine Star3D library, it is internally powered by Intel® Rendering Framework: Embree.

Everytime the linear assumption is relevant, this theoretical framework allows to encompass all the heat transfer mecanisms (conductive-convective-radiative) in an unified statistical model. Such models can be solved by a Monte-Carlo approach just by sampling thermal paths. This can be seen as an extension of Monte-Carlo algorithms that solve radiative transfer by sampling optical paths. A main property of this approach is that the resulting algorithms does not rely on a volume mesh of the system.

An example of propagator use

Here is an example of practical use of a propagator (Green function), obtained by using the Stardis solver on a basic IGBT (a power semiconductor device):

A simple IGBT example. Each point represents the end of a "thermal path", where it reaches a boundary condition. The colour of the points indicates the duration (in seconds) of the thermal path, that is the time it took for heat to escape the system from the source. This example has been developped in collaboration with Epsilon-Alcen.
Dissipated power (in W/mm3)
Air environment temperature (in K)
Bottom temperature (in K)
Core temperature +/-

Getting Stardis

Stardis is not a monolithic software, but a solver which can be integrated in various thermal engineering simulation toolchain for designing and optimizing. It is available on GNU/Linux and Microsoft Windows 7 or later. It is licensed under the GPLv3+ license and is thus distributed with its source code without additional fees. Refer to the license for details. A commercial license is also available to users for who the conditions of the GPLv3+ are too restrictive.

Stardis is closely developed with the physics laboratories behind its theoretical advances. Both physicists and programmers working on and with Stardis also do its theoretical and technical support. When you need help, you are always going to talk to someone that knows what they are doing.

Our commercial offer is versatile:

To get access to Stardis and for more informations on our offer, please contact us.

Examples of integration and development


SYRTHES: the thermal software of EDF R&D.

Mainly to address its own numerical simulation needs on thermal transfer, EDF R&D has been developing and maintaining the SYRTHES software for years. SYRTHES is dedicated to solve the conductive and radiative transfers in complex geometries and was designed to be integrated in the EDF software toolchain (SALOME). Inside SYRTHES, the conductive heat transfer solver is a finite elements solver and the radiative solver is based on radiosity.

Meso-Star staff and SYRTHES developers collaborate since 2015 to incorporate new features into SYRTHES, based on Stardis and its statistical point of view of the thermal transfers. The purpose is not to substitude new solvers to the existing ones, but rather to add some complementary features to help analysing numerical simulations results.

PROMES-CNRS - Star-Therm

Star-Therm: a combined conductive–radiative heat transfer solver for geometrically complex foams.

Based on the Stardis solver which solves coupled conductive and radiative thermal problems, Meso-Star has developped the Star-Therm code for the PROMES-CNRS laboratory. Star-Therm is designed to deal with the geometric complexity of metallic or SiC foams. This type of foam is used in the design of heat exchangers in concentrated solar processes to transfer the energy of the incoming sunlight radiation to a working fluid.

The physical model in Star-Therm considers the incoming thermal radiation in vacuum and its coupling with conduction in an opaque solid. The incoming solar energy (radiation) is deposited at the surface of the metallic foam, which allows to determine a boundary temperature. Knowing boundary conditions and initial conditions, Star-Therm can compute the temperature at any position within the solid.


[1] Delatorre et al., Monte Carlo advances and concentrated solar applications, Solar Energy, 2014
[2] Kac, On Distributions of Certain Wiener Functionals. The Annals of Mathematical Statistics, 1949.
[3] Muller, Some continuous Monte-Carlo Methods for the Dirichlet Problem" , Transactions of the American Mathematical Society, 1956.