B0 inhomogeneity leads to dark band artifacts in cardiac MRI, in particular with the use of SSFP pulse sequences. Limited spatial resolution of MRI-derived B0 maps prevents the systematic analysis of the problem and the development of optimized B0 shim strategies. Here we demonstrate the potential for simulating both overall and cardiac phase-specific B0 field conditions in the human heart at 3 T at high spatial resolution from anatomical MRI. The results are validated by high-resolution B0 field mapping in the same subjects. This approach is expected to develop population-specific B0 shim strategies from readily available anatomical MRI libraries.