Mathematical Modelling and Numerical Simulation of Flow, Transport and Phase Transitions

16 Apr 2026
Job Information

Organisation/Company

Czech Technical University in Prague

Department

Dept. of Mathematics

Research Field

Mathematics » Computational mathematics

Researcher Profile

First Stage Researcher (R1)

Positions

PhD Positions

Application Deadline

31 May 2026 - 23:59 (Europe/Brussels)

Country

Czech Republic

Type of Contract

Temporary

Job Status

Full-time

Hours Per Week

40

Offer Starting Date

1 Sep 2026

Is the job funded through the EU Research Framework Programme?

Horizon Europe - MSCA

Is the Job related to staff position within a Research Infrastructure?

No

Offer Description

Pictus PhD Fellowship Programme

Czech Technical University in Prague – International PhD Programme (PICTUS) will recruit  a total of 23 PhD students (see Eligibility criteria below) for a full 48-month employment contract and enroll them in a specific PhD course.  Candidates should prepare their own research proposal from the topics offered  .

Application form  should be filled  and all required documents uploaded using the dedicated electronic form.

helpdesk: petra.koudelova@fsv.cvut.cz

Mathematical Modelling and Numerical Simulation of Flow, Transport and Phase Transitions

Description:

Investigation of free-boundary problems has been developed during last decades as a consequence of problems solved in physical or biological contexts, achieved advances in material science, space technology and fluid dynamics. Free boundaries are frequently understood as hypersurfaces described by geometrical means, which dynamically evolve due to the driving forces arising in governing partial differential equations.

In the project, a class of moving boundary problems will be investigated. It is assumed that such problems are described by the law for the normal velocity of the interface incorporating mean curvature, Gaussian curvature and their differentials. The research in progress is carried out for the problems of pure advection used for fluid-component tracking, for the problems of curvature-dependent evolution up to the problems of surface diffusion.

The mentioned problems involve the motion law for the hypersurface or curve together with a conservation law for energy, mass of particular components etc. In this sense, complete analysis of any such problems still remains a challenge. Another area of wide application for moving-fronts algorithms is the simulation of porous-media flow of multiple phases and their transitions. A careful experimental investigation has discovered fingering phenomena accompanying the transport of non-aqueous phase liquids (NAPLs) in the interaction with the wetting phase (usually water). Complicated patterns of the NAPL phase develop during the interaction with pores and other phases, and are a result of the nonlinear behavior of governing equations. The phenomenon can be described by the Hele-Shaw problem for the pressure and position of the phase interface. In case of low influence of capillarity effects, the multi-phase flow is described by a nonlinear conservation law known as Buckley-Leverett problem. Recently, the research interest started to focus on the soil freezing and thawing within the context of climatic changes worldwide where especially the permafrost thaw leading to the release of large amount of gases becomes worth of investigation.

Secondment:

Kanazawa University, Japan

3 months, mathematical analysis a numerical solution of the flow, transport and phase transitions problems

Co-supervisor: prof. Hirofumi Notsu, Faculty of Mathematics and Physics, Kanazawa University

Where to apply

E-mail

michal.benes@fjfi.cvut.cz

Requirements

Research Field

Mathematics » Computational mathematics

Education Level

Master Degree or equivalent

Skills/Qualifications

Required documents  to be uploaded to the  Application form webpage

CV including
a)      Education received
b)      Any working and professional experience
c)      Prizes and Awards
d)      Participation at projects
e)     Internships
f)      List of publications

Master thesis
pdf max 20 MB

Research proposal
Select one of the topics offered
 
Required sections: 1) Excellence, 2) Impact incl. expected outputs of the project, 3) Quality and Efficiency of the Implementation 4), Personal motivation: description of career goals, foreseen advancement in research and professional skills of the Applicant.
Consult your proposal with the respective Supervisor. You are encouraged to communicate with the Supervisor  before you submit the application.

Master degree diploma

Specific Requirements

Experience:
* Master degree at the time of beginning of the contract
* previous studies compatible with the project they intend to apply with 

Mobility: applicants must not have resided or carried out their main activity in the Czech Republic for more than 12 months in the 3 years prior to the Calls’ deadline (career breaks not counted).

Languages

ENGLISH

Level

Good

Additional Information
Benefits

Benefits and Conditions

Gross monthly salary of 69 300 CZK/month*
Family allowance 8 888 CZK/month (for applicants with dependent family members)
Travel support for conferences and secondments
Research costs1 

*The gross monthly salary CZK is under the standard scheme in the Czech Republic and includes mandatory social and health insurance. Therefore, the gross salary contains an employee contribution to social and health insurance of 11% and it is standardly taxable (15 % rate). Some tax discounts are given to e.g. employees with children. All rates subject to adjustments due to changing exchange rate. 

Example: a single researcher would get approx. 55 000 CZK as net salary

The offered salary is equivalent to the standard MSCA individual postdoc award, and it is highly competitive 

Eligibility criteria

Experience:
* Master degree at the time of beginning of the contract
* previous studies compatible with the project they intend to apply with 

Mobility: applicants must not have resided or carried out their main activity in the Czech Republic for more than 12 months in the 3 years prior to the Calls’ deadline (career breaks not counted). 

Additional comments

Application form  should be filled  and all required documents uploaded using the dedicated electronic form.

helpdesk: petra.koudelova@fsv.cvut.cz

Website for additional job details

https://geraldine.fjfi.cvut.cz

Work Location(s)

Number of offers available

1

Company/Institute

Faculty of Nuclear Engineering

Country

Czech Republic

City

Prague 1

Postal Code

110 00

Street

Břehová 78/7

Geofield

Contact

State/Province

Czech Republic

City

Prague

Website

https://www.cvut.cz/en

Street

Jugoslávských partyzánů 1580/3

Postal Code

160 00

E-Mail

michal.benes@fjfi.cvut.cz

STATUS: EXPIRED

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