Numerical investigation of the discrete solution of phase-field equation

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Pavel Eichler Michal Malík Tomáš Oberhuber Radek Fučík


In this article, we deal with the numerical solution of the phase-field equation. The numerical solution is based on the lattice Boltzmann method compared with the finite difference method. First, a short introduction to the mathematical and numerical model is presented and the implementation of two different methods is briefly investigated. Then, the results of both methods are compared and the experimental order of convergence is determined. One of the significant drawbacks of the finite difference method is that a sufficiently fine computational mesh is crucial for accurate results. The advantage of the lattice Boltzmann method is that it produces accurate results on courser meshes.

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How to Cite
Eichler, P., Malík, M., Oberhuber, T., & Fučík, R. (2020). Numerical investigation of the discrete solution of phase-field equation. Proceedings Of The Conference Algoritmy, , 111 - 120. Retrieved from


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