Abstract: |
Multiscale approaches for simulating transport in porous media generally involve either upscaling techniques such as computational homogenisation, where calcula- tions on a representative ‘mirocell’ are used to derive effective coefficients for use in the macroscopic averaged equations; or distributed microstructure models, which consist of coupled continuum equations that are solved simultaneously at the macro and microscales (microcell). In this talk I will survey the computational techniques employed for the nonlinear conservation laws, together with the methods used for simulating the transport phenomena evident at the microscale. |