High-performance computing is a powerful tool that allows scientists to study complex natural phenomena. Extreme-scale supercomputers promise orders of magnitude higher performance compared with that of current systems. However, power constrains in future exascale systems might limit the level of resilience of those machines. In particular, data could get corrupted silently, that is, without the hardware detecting the corruption. This situation is clearly unacceptable: simulation results must be within the error margin specified by the user. In this paper, we exploit multivariate interpolation in order to detect and correct data corruption in stencil applications. We evaluate this technique with a turbulent fluid application, and we demonstrate that the prediction error using multivariate interpolation is on the order of 0.01. Our results show that this mechanism can detect and correct most important corruptions and keep the error deviation under 1% during the entire execution while injecting one corruption per minute. In addition, we stress test the detector by injecting more than ten corruptions per minute and observe that our strategy allows the application to produce results with an error deviation under 10% in such a stressful scenario.