Agros2D

agros
agros
	Heat transfer simulated by the agros
Developer(s)	University of West Bohemia
Stable release(s)
	4.0 / June 6, 2025;21 days ago
Repository	github.com/hpfem/agros2d ;
Written in	C++, Python
Operating system	Linux, Windows
Type	Simulation software
License	GNU General Public License
Website	www.agros2d.org

Last updated June 28, 2025

agros is an open-source code for numerical solutions of 2D coupled problems in technical disciplines. Its principal part is a user interface serving for complete preprocessing and postprocessing of the tasks (it contains sophisticated tools for building geometrical models and input of data, generators of meshes, tables of weak forms for the partial differential equations, and tools for evaluating results and drawing graphs and maps). The processor is based on the library Hermes , containing the most advanced numerical algorithms for monolithic and fully adaptive solutions of systems of generally nonlinear and nonstationary partial differential equations (PDEs) based on hp-FEM (adaptive finite element method of higher order of accuracy). Both parts of the code are written in C++.^[1]

Features

Coupled Fields – With the coupled field feature, you can blend two or more physical fields in one problem. Weak or hard coupling options are available.
Nonlinear Problems – Simulation and analysis of nonlinear problems are available. Agros2D now implements both Newton’s and Pickard’s methods.
Automatic space and time adaptivity – One of the main strengths of the Hermes library is an automatic space adaptivity algorithm. With Agros2D, it is also possible to use adaptive time stepping for transient phenomena analysis. It can significantly improve solution speed without decreasing accuracy.
Curvilinear Elements – Curvilinear elements are an effective feature for meshing curved geometries and lead to faster and more accurate calculations.
Quadrilateral Meshing – Quadrilateral meshing can be very useful for some types of problem geometry, such as compressible and incompressible flow.
Particle Tracing – Powerful environment for computing the trajectory of charged particles in an electromagnetic field, including the drag force and their reflection on the boundaries.

Highlights of capabilities

Higher-order finite element method (hp-FEM) with h, p, and hp adaptivity based on reference solution and local projections
Time-adaptive capabilities for transient problems
Multimesh assembling over component-specific meshes without projections or interpolations in multi-physics problems
Parallelization on a single machine using OpenMP
Large range of linear algebra libraries (MUMPS, UMFPACK, PARALUTION, Trilinos)
Support for scripting in Python (advanced IDE PythonLab)

Physical Fields

Electrostatics
Electric currents (steady state and harmonic)
Magnetic field (steady state, harmonic and transient)
Heat transfer (steady state and transient)
Structural mechanics and thermoelasticity
Acoustics (harmonic and transient)
Incompressible flow (steady state and transient)
RF field (TE and TM waves)
Richards equation (steady state and transient)

Couplings

Current field as a source for heat transfer through Joule losses
Magnetic field as a source for heat transfer through Joule losses
Heat distribution as a source for thermoelastic field

History

The software started from work at the hp-FEM Group at University of West Bohemia in 2009. The first public version was released at the beginning of year 2010. Agros2D has been used in many publications.^[2]^[3]^[4]^[5]^[6]^[7]^[8]

References

↑ Karban, P., Mach, F., Kůs, P., Pánek, D., Doležel, I.: Numerical solution of coupled problems using code Agros2D, Computing, 2013, Volume 95, Issue 1 Supplement, pp 381-408
↑ Dolezel, I., Karban, P., Mach, F., & Ulrych, B. (2011, July). Advanced adaptive algorithms in finite element method of higher order of accuracy. In Nonlinear Dynamics and Synchronization (INDS) & 16th Int'l Symposium on Theoretical Electrical Engineering (ISTET), 2011 Joint 3rd Int'l Workshop on (pp. 1-4). IEEE.
↑ Polcar, P. (2012, May). Magnetorheological brake design and experimental verification. In ELEKTRO, 2012 (pp. 448-451). IEEE.
↑ Lev, J., Mayer, P., Prosek, V., & Wohlmuthova, M. (2012). The Mathematical Model of Experimental Sensor for Detecting of Plant Material Distribution on the Conveyor. Main Thematic Areas, 97.
↑ Kotlan, V., Voracek, L., & Ulrych, B. (2013). Experimental calibration of numerical model of thermoelastic actuator. Computing, 95(1), 459-472.
↑ Vlach, F., & Jelínek, P. (2014). Determination of linear thermal transmittance for curved detail. Advanced Materials Research, 899, 112-115.
↑ Kyncl, J., Doubek, J., & Musálek, L. (2014). Modeling of Dielectric Heating within Lyophilization Process. Mathematical Problems in Engineering, 2014.
↑ De, P. R., Mukhopadhyay, S., & Layek, G. C. (2012). Analysis of fluid flow and heat transfer over a symmetric porous wedge. Acta Technica CSAV, 57(3), 227-237.

External links

Official website
Group's website Archived 2017-05-04 at the Wayback Machine

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[karban2013-1] Karban, P., Mach, F., Kůs, P., Pánek, D., Doležel, I.: Numerical solution of coupled problems using code Agros2D, Computing, 2013, Volume 95, Issue 1 Supplement, pp 381-408

[2] Dolezel, I., Karban, P., Mach, F., & Ulrych, B. (2011, July). Advanced adaptive algorithms in finite element method of higher order of accuracy. In Nonlinear Dynamics and Synchronization (INDS) & 16th Int'l Symposium on Theoretical Electrical Engineering (ISTET), 2011 Joint 3rd Int'l Workshop on (pp. 1-4). IEEE.

[3] Polcar, P. (2012, May). Magnetorheological brake design and experimental verification. In ELEKTRO, 2012 (pp. 448-451). IEEE.

[4] Lev, J., Mayer, P., Prosek, V., & Wohlmuthova, M. (2012). The Mathematical Model of Experimental Sensor for Detecting of Plant Material Distribution on the Conveyor. Main Thematic Areas, 97.

[5] Kotlan, V., Voracek, L., & Ulrych, B. (2013). Experimental calibration of numerical model of thermoelastic actuator. Computing, 95(1), 459-472.

[6] Vlach, F., & Jelínek, P. (2014). Determination of linear thermal transmittance for curved detail. Advanced Materials Research, 899, 112-115.

[7] Kyncl, J., Doubek, J., & Musálek, L. (2014). Modeling of Dielectric Heating within Lyophilization Process. Mathematical Problems in Engineering, 2014.

[8] De, P. R., Mukhopadhyay, S., & Layek, G. C. (2012). Analysis of fluid flow and heat transfer over a symmetric porous wedge. Acta Technica CSAV, 57(3), 227-237.

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