Short course/CPD
Introduction to Smooth Particle Hydrodynamics (SPH) – Theory and Application
Course date: Please enquire
Course overview
This course provides engineers and researchers with the fundamental theoretical background on the SPH method as well as an overview of how the SPH method allows complex practical solid and fluid mechanics problems to be analysed.

Location
Cranfield University is located at the very heart of the UK – within the innovation triangle between London and the cities of Oxford and Cambridge.
Our central location provides easy access from the M1, excellent main line rail service as well as proximity to key international airports. Set in rolling countryside, Cranfield offers a rich, rural landscape complemented by thriving towns and picturesque villages.
- Road: We are just 10 minutes from Junctions 13 & 14 of the M1 motorway. There is free parking on campus.
- Rail: Milton Keynes or Bedford
- Air: London Luton (22 miles), Heathrow (50 miles) or Birmingham (70 miles).
Course fee:
Course fee: £1640
Accommodation fee: £261
Accommodation fee:
This one-week course will be held at Cranfield University, and attendance is normally on a full board basis in Mitchell Hall on the Cranfield campus. Delegates should arrive for an evening meal on Tuesday, 13 September and depart on Friday afternoon, 16 September. The course fee includes a dinner for all participants, as part of the social programme. Details of arrangements/events will be in the delegate information pack.
Speakers
Course Director
Professor Rade Vignjevic
T: +44 (0) 1234 754736
E: v.rade@cranfield.ac.uk
How to register
Further information
For more information on this course or booking details please contact:
Academic Operations Unit
T: + 44 (0) 1234 754192
E: shortcourse@cranfield.ac.uk
Course description
Course Objectives
- To develop a fundamental understanding of the SPH method from its initial development through to recent developments.
- To give a survey of the available formulations and implementations available within modern analysis codes.
- To provide an understanding of the practical implications of using the SPH method, and suitable modelling techniques for a range of engineering applications covering solid, fluid and structural mechanics
- To introduce the use of the SPH method coupled with the finite element method for the analysis of problems including fluid-structure interaction.
- To provide hands-on experience with engineering analysis using SPH.
Who Should Attend?
The course is intended for engineers and researchers who are interested in developing or extending their knowledge and understanding of the Smoothed Particle Hydrodynamics method. A background in engineering or science, and some experience with computational methods will be necessary for understanding the course.
The course is applicable to problems in a range of industries; including the aerospace, automotive, offshore and defence sectors.
Course Arrangements
The course will be delivered through formal lectures covering the different topic areas. Participants will also be involved in tutorial activity using the SPH method and procedures outlined to solve actual engineering problems.
Topics
Fundamentals of the SPH method
- Spatial Discretisation of Continuum Equations
- Kernel functions, variable smoothing length, method consistency
- Lagrangian, Eulerian Forms of SPH
- Shell formulation for SPH
- Stability, Consistency, and Convergence of the SPH method
Numerical Implementation of the SPH method
- Direct Time Integration of Balance Equations
- Time Integration Procedures
- Neighbour search algorithms
- Treatment of contact
Coupling of SPH with transient non-linear finite element method
Modelling techniques
- Ballistic and Hypervelocity Impact
- Bird Strike
- Crashworthiness and Water Impact
- Fluid Structure Interaction
- Fluid Sloshing
- Extreme wave loading
Practical examples of SPH and SPH-FE analysis
Applications covered in the course include, but are not limited to:
- Structural impact on water
- Extreme wave interaction with offshore structures
- Bird strike

Images show an analysis of a strike on jet engine fan blades (SPH bird, FE structure).






