Simulation of Intra-Aneurysmal Blood Flow by Different Numerical Methods

Table 1

Comparison of different simulation methods.

Aspect	FEM	LBM
Ansatz	Euler	Euler
Incompressibility	Yes	Yes
Time steps	Large	Implicit scheme: medium
Cost per time step	Large	Small
Boundary-fitted domain	Difficult	Fine grids
Level-set-based domain	Research topic,; fictitious domain techniques	Research topic, same grid
Error analysis	Yes	Partial
Error control	Yes	No
Mesh/grid refinement	Yes	Research topic
Accuracy	High	Good
Non-Newtonian rheology	Yes	Available
Thrombosis model	Research topic	Research topic
Fluid structure interaction	Research topic	Research topic
Turbulence	Partial	Partial
Code implementation	Complicated	Good
Memory usage	Q2P1: high	D3Q19: high
Parallelisation	Complicated	Good