| Preface | |
| 1 | Problem Formulation | 1 |
| 1.1 | An Overview of the Phenomena Involved in a Phase Change | 2 |
| 1.2 | Formulation of the Stefan Problem | 6 |
| 1.3 | General Melting and Solidification Processes | 29 |
| 2 | Problems With Explicit Solutions | 33 |
| 2.1 | The One-Phase Stefan Problem | 34 |
| 2.2 | The Two-Phase Problem on a Semi-Infinite Slab | 46 |
| 2.3 | The Effect of Density Change | 59 |
| 2.4 | Solidification of a Supercooled Melt | 79 |
| 2.5 | Change of Phase in a Binary Alloy | 98 |
| 2.6 | Similarity Solutions in Cylindrical and Spherical Geometries | 117 |
| 2.7 | Benchmark Solutions of Multidimensional Problems for Simulation Verification | 121 |
| 3 | Analytical Approximations | 125 |
| 3.1 | The Quasistationary Approximation | 126 |
| 3.2 | Quasistationary Approximation of Axially Or Radially Symmetric Processes | 144 |
| 3.3 | Perturbation Methods for One-Phase Problems | 154 |
| 3.4 | The Megerlin and Heat-Balance-Integral Methods | 162 |
| 3.5 | Some Melting Time Relations | 168 |
| 4 | Numerical Methods - The Enthalpy Formulation | 180 |
| 4.1 | Numerical Heat Transfer | 181 |
| 4.2 | Brief Overview of Numerical Methods for Phase Change Problems | 210 |
| 4.3 | The Enthalpy Method in One Space Dimension | 212 |
| 4.4 | Mathematical Framework of the Enthalpy Formulation | 242 |
| 4.5 | Convergence of the Enthalpy Scheme and Existence of the Weak Solution | 260 |
| 5 | Applying the Techniques of Modeling | 274 |
| 5.1 | Latent Heat Storage and Phase Change Materials | 276 |
| 5.2 | Numerical Simulation of a Latent Heat Trombe Wall | 284 |
| 5.3 | Development of a Simulation Code for a LHTES System in a Space Station | 290 |
| Bibliography | 305 |
| Index | 321 |