Research at AACS concentrates on three Focal Areas:

Applied Analysis, Numerical Analysis and Computational Science.

An overview of activities in 2003-2008 can be found in the: Applied Mathematics Evaluation report.

Research is conducted in the following projects (listed alphabetically):

1. Aerosols in filters
   -    Particle-laden flow in porous media    -    Lilya Ghazaryan
   

2. A Parallel Adaptive Finite Element Toolkit for Partial Differential Equations 
   -    hp-Multigrid as Smoother algorithm for the solution of higher order accurate space-time discontinuous Galerkin discretizations   -    Tito Julianto
   

3. BRAINGAIN 4.2: Neuronal network behaviour resulting from brain stimulation   
   -    Neuronal network behaviour resulting from brain stimulation     -    Marcel Lourens
   

4. Deterministic wave modelling and simulation for offshore and harbour applications
   

5. - Mathematical models and numerical  implementations for accurate coastal wave modelling - Ruddy Kurnia
   

6. - Interactions of water waves with ship and offshore structures modelled by extensions of Variational  
   Boussinesq Models                - Mourice Woran
   

7. -Coastal zone simulations with Optimized Variational Boussinesq model -  Didit Adytia
   

8. Compatible Mathematical Models for Coastal Hydrodynamics    
   -     Compatible Mathematical Models for Coastal Hydrodynamics    -    Elena Gagarina
   

9. CSC Fellowship China
   -     Discontinuous Galerkin Methods for Phase Transitional Flows    -    Lulu Tian
   

10. Droplets in turbulent flow
    -    Clustering in turbulent droplet ensembles: the role of phase transitions -  Anastasia Bukhvostova
    

11. Extreme Surface Waves, models, simulations and experiments
    -     Theory, simulations and experiments of freak waves    - Arnida Latifah
    

12. From spiking neurons to brainwaves    
    -     From spiking neurons to brainwaves    -    Sid Visser
    

13. Heterogeneous Multi-scale Methods for Granular Flows
    -    Polydispersed Granular Flows through Inclined Channels - Deepak Tununguntla
    

14. HiPrints
    -   Discontinuous Galerkin Finite Element Methods for Multi-Fluid Flows - Tatyana Medvedeva
    

15. Modeling and Simulation of aerosols
    -    Mechanism integration - Edo Frederix
    -    High performance simulation of multi species aerosols - Vacancy
    

16. Nearshore Tsunami Modelling & Simulations    
    -    Nearshore Tsunami Modelling & Simulations    -     Wenny Kristina
    

17. Numerical Wavetank for Complex Wave and Current Interaction    
    -    A numerical Wavetank for Complex Wave and Current interaction  -  Shavarsh Nurijanyan
    

18. PAINSIGHT: 
    -   Modelling and indentification of the nociceptive system   -  Huan Yang
    

19. Variational consistent modelling of the interior fluid motion in boussinesq  Equations
    

        - Desynchronization of Parkinsonian Bursts in the Basal Ganglia-Thalamocortical Circuit - Bettina Schwab

Finished projects:

1. Mathematical Analysis and Classification of Flow Topologies in Cerebral Aneurysms    
   -     Mathematical Analysis and Classification of Flow Topologies in Cerebral Aneurysms  - Julia Mikhal
   

2. Aerosols in filters
   -    Simulation of Transport Processes in Porous Media     -     David Lopez Penha
        press release UT: click here
   

3. Coastal zone and tsunami simulations with Variational Boussinesq model
   -     Coastal zone and tsunami simulations with Variational Boussinesq model   -     Didit Adytia
   

4. Multigrid for higher order accurate space-time discontinuous Galerkin discretizations   
   -     Multigrid for higher order accurate space-time discontinuous Galerkin discretizations - Sander Rhebergen
   

5. Computational multi-scale modeling of super-dispersed multiphase flows
   -     Computational multi-scale modeling of super-dispersed multiphase flows - Thomas Weinhart
   

6. Control of  aerosol migration with temperature gradients    
   -     Control of  aerosol migration with temperature gradients  -    Briti Deb
   

7. Extreme Surface Waves, models, simulations and experiments
   -     Extreme surface waves: analytical modeling    - She Liam Lie
   -     Modelling and simulation of extreme waves in hydrodynamic laboratories   -  Ivan Lakhturov
   

8. Hamiltonian-based numerical Methods for forced-dissipative climate prediction   
   -     Hamiltonian-based numerical Methods for forced-dissipative climate prediction  - Bob Peeters
   

9. Numerical Wavetank for Complex Wave and Current Interaction    
   -    A Numerical Wave Tank for Complex Current and Wave Interactions     -     Vijaya R. Ambati