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The Collins-Williams Regge calculus models of FLRW space-times and Brewin'ssubdivided models are applied to closed vacuum $\Lambda$-FLRW universes. Ineach case, we embed the Regge Cauchy surfaces into 3-spheres in $\mathbf{E}^4$and consider possible measures of Cauchy surface radius that can be derivedfrom the embedding. Regge equations are obtained from both global variation,where entire sets of identical edges get varied simultaneously, and localvariation, where each edge gets varied individually. We explore therelationship between the two sets of solutions, the conditions under which theRegge Hamiltonian constraint would be a first integral of the evolutionequation, the initial value equation for each model at its moment of timesymmetry, and the performance of the various models. It is revealed that localvariation does not generally lead to a viable Regge model. It is alsodemonstrated that the various models do satisfy their respective initial valueequations. Finally, it is shown that the models reproduce the behaviour of thecontinuum model rather well initially, with performance improving as weincrease the number of tetrahedra used to construct the Regge Cauchy surface.Eventually though, all models gradually fail to keep up with the continuum FLRWmodel's expansion, with the models with lower numbers of tetrahedra fallingaway more quickly. We believe this failure to keep up is due to the finiteresolution of the Regge Cauchy surfaces trying to approximate an ever expandingcontinuum Cauchy surface; each Regge surface has a fixed number of tetrahedraand as the surface being approximated gets larger, the resolution woulddegrade. Finally, we note that all Regge models end abruptly at a point whenthe time-like struts of the skeleton become null, though this end-point appearsto get delayed as the number of tetrahedra is increased.

Regge calculus models of the closed vacuum $\Lambda$-FLRW universe